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Finding the Fourth Proportional to 157,525.74, 217,346.94 and 101,013.66

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Solution

The fourth proportional to 157,525.74, 217,346.94 and 101,013.66 is: 139,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,525.74 : 217,346.94 = 101,013.66 : x
  2. Step 2: Convert to fraction form
    157,525.74/217,346.94 = 101,013.66/x
  3. Step 3: Cross multiply
    157,525.74x = 217,346.94 × 101,013.66
  4. Step 4: Simplify right side
    157,525.74x = 21,955,009,899.20
  5. Step 5: Solve for x
    x = 21,955,009,899.20/157,525.74
  6. Step 6: Final answer
    x = 139,374.11

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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.