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Finding the Fourth Proportional to 157,122.51, 216,827.24 and 85,501.31

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Solution

The fourth proportional to 157,122.51, 216,827.24 and 85,501.31 is: 117,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122.51 : 216,827.24 = 85,501.31 : x
  2. Step 2: Convert to fraction form
    157,122.51/216,827.24 = 85,501.31/x
  3. Step 3: Cross multiply
    157,122.51x = 216,827.24 × 85,501.31
  4. Step 4: Simplify right side
    157,122.51x = 18,539,011,552.04
  5. Step 5: Solve for x
    x = 18,539,011,552.04/157,122.51
  6. Step 6: Final answer
    x = 117,990.81

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