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Finding the Fourth Proportional to 200,731.90, 301,097.85 and 153,492.70

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Solution

The fourth proportional to 200,731.90, 301,097.85 and 153,492.70 is: 230,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.90 : 301,097.85 = 153,492.70 : x
  2. Step 2: Convert to fraction form
    200,731.90/301,097.85 = 153,492.70/x
  3. Step 3: Cross multiply
    200,731.90x = 301,097.85 × 153,492.70
  4. Step 4: Simplify right side
    200,731.90x = 46,216,321,960.70
  5. Step 5: Solve for x
    x = 46,216,321,960.70/200,731.90
  6. Step 6: Final answer
    x = 230,239.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.