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Finding the Fourth Proportional to 137,575.16, 189,863.46 and 76,341.38

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Solution

The fourth proportional to 137,575.16, 189,863.46 and 76,341.38 is: 105,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.16 : 189,863.46 = 76,341.38 : x
  2. Step 2: Convert to fraction form
    137,575.16/189,863.46 = 76,341.38/x
  3. Step 3: Cross multiply
    137,575.16x = 189,863.46 × 76,341.38
  4. Step 4: Simplify right side
    137,575.16x = 14,494,438,547.97
  5. Step 5: Solve for x
    x = 14,494,438,547.97/137,575.16
  6. Step 6: Final answer
    x = 105,356.51

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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.