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Finding the Fourth Proportional to 101,594.98, 152,416.80 and 42,397.72

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Solution

The fourth proportional to 101,594.98, 152,416.80 and 42,397.72 is: 63,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.98 : 152,416.80 = 42,397.72 : x
  2. Step 2: Convert to fraction form
    101,594.98/152,416.80 = 42,397.72/x
  3. Step 3: Cross multiply
    101,594.98x = 152,416.80 × 42,397.72
  4. Step 4: Simplify right side
    101,594.98x = 6,462,124,809.70
  5. Step 5: Solve for x
    x = 6,462,124,809.70/101,594.98
  6. Step 6: Final answer
    x = 63,606.73

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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.