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Finding the Fourth Proportional to 142,136.60, 213,185.48 and 42,312.20

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Solution

The fourth proportional to 142,136.60, 213,185.48 and 42,312.20 is: 63,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,136.60 : 213,185.48 = 42,312.20 : x
  2. Step 2: Convert to fraction form
    142,136.60/213,185.48 = 42,312.20/x
  3. Step 3: Cross multiply
    142,136.60x = 213,185.48 × 42,312.20
  4. Step 4: Simplify right side
    142,136.60x = 9,020,346,666.86
  5. Step 5: Solve for x
    x = 9,020,346,666.86/142,136.60
  6. Step 6: Final answer
    x = 63,462.52

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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.