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Finding the Fourth Proportional to 137,547.72, 189,849.62 and 83,862.34

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Solution

The fourth proportional to 137,547.72, 189,849.62 and 83,862.34 is: 115,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,547.72 : 189,849.62 = 83,862.34 : x
  2. Step 2: Convert to fraction form
    137,547.72/189,849.62 = 83,862.34/x
  3. Step 3: Cross multiply
    137,547.72x = 189,849.62 × 83,862.34
  4. Step 4: Simplify right side
    137,547.72x = 15,921,233,381.31
  5. Step 5: Solve for x
    x = 15,921,233,381.31/137,547.72
  6. Step 6: Final answer
    x = 115,750.62

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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.