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Finding the Fourth Proportional to 191,165.78, 286,730.14 and 58,047.20

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Solution

The fourth proportional to 191,165.78, 286,730.14 and 58,047.20 is: 87,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,165.78 : 286,730.14 = 58,047.20 : x
  2. Step 2: Convert to fraction form
    191,165.78/286,730.14 = 58,047.20/x
  3. Step 3: Cross multiply
    191,165.78x = 286,730.14 × 58,047.20
  4. Step 4: Simplify right side
    191,165.78x = 16,643,882,567.61
  5. Step 5: Solve for x
    x = 16,643,882,567.61/191,165.78
  6. Step 6: Final answer
    x = 87,065.18

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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.