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Finding the Fourth Proportional to 146,010.33, 218,931.66 and 57,159.81

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Solution

The fourth proportional to 146,010.33, 218,931.66 and 57,159.81 is: 85,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,010.33 : 218,931.66 = 57,159.81 : x
  2. Step 2: Convert to fraction form
    146,010.33/218,931.66 = 57,159.81/x
  3. Step 3: Cross multiply
    146,010.33x = 218,931.66 × 57,159.81
  4. Step 4: Simplify right side
    146,010.33x = 12,514,092,088.58
  5. Step 5: Solve for x
    x = 12,514,092,088.58/146,010.33
  6. Step 6: Final answer
    x = 85,706.90

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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.