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Finding the Fourth Proportional to 262,330.80, 393,595.56 and 157,225.20

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Solution

The fourth proportional to 262,330.80, 393,595.56 and 157,225.20 is: 235,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,330.80 : 393,595.56 = 157,225.20 : x
  2. Step 2: Convert to fraction form
    262,330.80/393,595.56 = 157,225.20/x
  3. Step 3: Cross multiply
    262,330.80x = 393,595.56 × 157,225.20
  4. Step 4: Simplify right side
    262,330.80x = 61,883,140,640.11
  5. Step 5: Solve for x
    x = 61,883,140,640.11/262,330.80
  6. Step 6: Final answer
    x = 235,897.35

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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.