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Finding the Fourth Proportional to 242,854.92, 335,123.46 and 152,207.64

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Solution

The fourth proportional to 242,854.92, 335,123.46 and 152,207.64 is: 210,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,854.92 : 335,123.46 = 152,207.64 : x
  2. Step 2: Convert to fraction form
    242,854.92/335,123.46 = 152,207.64/x
  3. Step 3: Cross multiply
    242,854.92x = 335,123.46 × 152,207.64
  4. Step 4: Simplify right side
    242,854.92x = 51,008,350,955.23
  5. Step 5: Solve for x
    x = 51,008,350,955.23/242,854.92
  6. Step 6: Final answer
    x = 210,036.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.