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Finding the Fourth Proportional to 157,820.42, 236,742.84 and 52,639.22

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Solution

The fourth proportional to 157,820.42, 236,742.84 and 52,639.22 is: 78,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,820.42 : 236,742.84 = 52,639.22 : x
  2. Step 2: Convert to fraction form
    157,820.42/236,742.84 = 52,639.22/x
  3. Step 3: Cross multiply
    157,820.42x = 236,742.84 × 52,639.22
  4. Step 4: Simplify right side
    157,820.42x = 12,461,957,254.47
  5. Step 5: Solve for x
    x = 12,461,957,254.47/157,820.42
  6. Step 6: Final answer
    x = 78,962.90

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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.