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Finding the Fourth Proportional to 157,702.40, 236,467.20 and 52,467.20

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Solution

The fourth proportional to 157,702.40, 236,467.20 and 52,467.20 is: 78,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,702.40 : 236,467.20 = 52,467.20 : x
  2. Step 2: Convert to fraction form
    157,702.40/236,467.20 = 52,467.20/x
  3. Step 3: Cross multiply
    157,702.40x = 236,467.20 × 52,467.20
  4. Step 4: Simplify right side
    157,702.40x = 12,406,771,875.84
  5. Step 5: Solve for x
    x = 12,406,771,875.84/157,702.40
  6. Step 6: Final answer
    x = 78,672.05

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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.