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Finding the Fourth Proportional to 191,265.57, 286,931.16 and 58,159.08

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Solution

The fourth proportional to 191,265.57, 286,931.16 and 58,159.08 is: 87,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,265.57 : 286,931.16 = 58,159.08 : x
  2. Step 2: Convert to fraction form
    191,265.57/286,931.16 = 58,159.08/x
  3. Step 3: Cross multiply
    191,265.57x = 286,931.16 × 58,159.08
  4. Step 4: Simplify right side
    191,265.57x = 16,687,652,288.93
  5. Step 5: Solve for x
    x = 16,687,652,288.93/191,265.57
  6. Step 6: Final answer
    x = 87,248.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.