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Finding the Fourth Proportional to 282,114.40, 423,159.60 and 95,125.60

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Solution

The fourth proportional to 282,114.40, 423,159.60 and 95,125.60 is: 142,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114.40 : 423,159.60 = 95,125.60 : x
  2. Step 2: Convert to fraction form
    282,114.40/423,159.60 = 95,125.60/x
  3. Step 3: Cross multiply
    282,114.40x = 423,159.60 × 95,125.60
  4. Step 4: Simplify right side
    282,114.40x = 40,253,310,845.76
  5. Step 5: Solve for x
    x = 40,253,310,845.76/282,114.40
  6. Step 6: Final answer
    x = 142,684.35

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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.