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Finding the Fourth Proportional to 153,998.70, 230,898.15 and 65,228.10

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Solution

The fourth proportional to 153,998.70, 230,898.15 and 65,228.10 is: 97,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,998.70 : 230,898.15 = 65,228.10 : x
  2. Step 2: Convert to fraction form
    153,998.70/230,898.15 = 65,228.10/x
  3. Step 3: Cross multiply
    153,998.70x = 230,898.15 × 65,228.10
  4. Step 4: Simplify right side
    153,998.70x = 15,061,047,618.02
  5. Step 5: Solve for x
    x = 15,061,047,618.02/153,998.70
  6. Step 6: Final answer
    x = 97,799.84

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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.