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Finding the Fourth Proportional to 282,495.60, 423,527.40 and 142,354.80

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Solution

The fourth proportional to 282,495.60, 423,527.40 and 142,354.80 is: 213,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,495.60 : 423,527.40 = 142,354.80 : x
  2. Step 2: Convert to fraction form
    282,495.60/423,527.40 = 142,354.80/x
  3. Step 3: Cross multiply
    282,495.60x = 423,527.40 × 142,354.80
  4. Step 4: Simplify right side
    282,495.60x = 60,291,158,321.52
  5. Step 5: Solve for x
    x = 60,291,158,321.52/282,495.60
  6. Step 6: Final answer
    x = 213,423.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.