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Finding the Fourth Proportional to 157,645.40, 236,468.10 and 52,467.80

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Solution

The fourth proportional to 157,645.40, 236,468.10 and 52,467.80 is: 78,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,645.40 : 236,468.10 = 52,467.80 : x
  2. Step 2: Convert to fraction form
    157,645.40/236,468.10 = 52,467.80/x
  3. Step 3: Cross multiply
    157,645.40x = 236,468.10 × 52,467.80
  4. Step 4: Simplify right side
    157,645.40x = 12,406,960,977.18
  5. Step 5: Solve for x
    x = 12,406,960,977.18/157,645.40
  6. Step 6: Final answer
    x = 78,701.70

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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.