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Finding the Fourth Proportional to 242,140.07, 334,175.07 and 146,641.07

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Solution

The fourth proportional to 242,140.07, 334,175.07 and 146,641.07 is: 202,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,140.07 : 334,175.07 = 146,641.07 : x
  2. Step 2: Convert to fraction form
    242,140.07/334,175.07 = 146,641.07/x
  3. Step 3: Cross multiply
    242,140.07x = 334,175.07 × 146,641.07
  4. Step 4: Simplify right side
    242,140.07x = 49,003,788,161.25
  5. Step 5: Solve for x
    x = 49,003,788,161.25/242,140.07
  6. Step 6: Final answer
    x = 202,377.86

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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.