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Finding the Fourth Proportional to 355,200.80, 533,319.60 and 145,248.80

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Solution

The fourth proportional to 355,200.80, 533,319.60 and 145,248.80 is: 218,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,200.80 : 533,319.60 = 145,248.80 : x
  2. Step 2: Convert to fraction form
    355,200.80/533,319.60 = 145,248.80/x
  3. Step 3: Cross multiply
    355,200.80x = 533,319.60 × 145,248.80
  4. Step 4: Simplify right side
    355,200.80x = 77,464,031,916.48
  5. Step 5: Solve for x
    x = 77,464,031,916.48/355,200.80
  6. Step 6: Final answer
    x = 218,085.18

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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.