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Finding the Fourth Proportional to 191,421.20, 287,002.20 and 101,478.80

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Solution

The fourth proportional to 191,421.20, 287,002.20 and 101,478.80 is: 152,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,421.20 : 287,002.20 = 101,478.80 : x
  2. Step 2: Convert to fraction form
    191,421.20/287,002.20 = 101,478.80/x
  3. Step 3: Cross multiply
    191,421.20x = 287,002.20 × 101,478.80
  4. Step 4: Simplify right side
    191,421.20x = 29,124,638,853.36
  5. Step 5: Solve for x
    x = 29,124,638,853.36/191,421.20
  6. Step 6: Final answer
    x = 152,149.49

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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.