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Finding the Fourth Proportional to 237,894.68, 328,294.32 and 137,292.68

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Solution

The fourth proportional to 237,894.68, 328,294.32 and 137,292.68 is: 189,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894.68 : 328,294.32 = 137,292.68 : x
  2. Step 2: Convert to fraction form
    237,894.68/328,294.32 = 137,292.68/x
  3. Step 3: Cross multiply
    237,894.68x = 328,294.32 × 137,292.68
  4. Step 4: Simplify right side
    237,894.68x = 45,072,407,021.58
  5. Step 5: Solve for x
    x = 45,072,407,021.58/237,894.68
  6. Step 6: Final answer
    x = 189,463.70

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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.