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Finding the Fourth Proportional to 191,411.03, 287,158.06 and 58,287.80

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Solution

The fourth proportional to 191,411.03, 287,158.06 and 58,287.80 is: 87,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,411.03 : 287,158.06 = 58,287.80 : x
  2. Step 2: Convert to fraction form
    191,411.03/287,158.06 = 58,287.80/x
  3. Step 3: Cross multiply
    191,411.03x = 287,158.06 × 58,287.80
  4. Step 4: Simplify right side
    191,411.03x = 16,737,811,569.67
  5. Step 5: Solve for x
    x = 16,737,811,569.67/191,411.03
  6. Step 6: Final answer
    x = 87,444.34

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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.