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Finding the Fourth Proportional to 157,583.20, 236,407.20 and 52,477.60

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Solution

The fourth proportional to 157,583.20, 236,407.20 and 52,477.60 is: 78,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,583.20 : 236,407.20 = 52,477.60 : x
  2. Step 2: Convert to fraction form
    157,583.20/236,407.20 = 52,477.60/x
  3. Step 3: Cross multiply
    157,583.20x = 236,407.20 × 52,477.60
  4. Step 4: Simplify right side
    157,583.20x = 12,406,082,478.72
  5. Step 5: Solve for x
    x = 12,406,082,478.72/157,583.20
  6. Step 6: Final answer
    x = 78,727.19

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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.