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Finding the Fourth Proportional to 200,937.90, 301,147.65 and 153,957.90

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Solution

The fourth proportional to 200,937.90, 301,147.65 and 153,957.90 is: 230,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,937.90 : 301,147.65 = 153,957.90 : x
  2. Step 2: Convert to fraction form
    200,937.90/301,147.65 = 153,957.90/x
  3. Step 3: Cross multiply
    200,937.90x = 301,147.65 × 153,957.90
  4. Step 4: Simplify right side
    200,937.90x = 46,364,059,783.94
  5. Step 5: Solve for x
    x = 46,364,059,783.94/200,937.90
  6. Step 6: Final answer
    x = 230,738.25

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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.