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Finding the Fourth Proportional to 142,125.40, 213,188.10 and 118,970.20

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Solution

The fourth proportional to 142,125.40, 213,188.10 and 118,970.20 is: 178,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,125.40 : 213,188.10 = 118,970.20 : x
  2. Step 2: Convert to fraction form
    142,125.40/213,188.10 = 118,970.20/x
  3. Step 3: Cross multiply
    142,125.40x = 213,188.10 × 118,970.20
  4. Step 4: Simplify right side
    142,125.40x = 25,363,030,894.62
  5. Step 5: Solve for x
    x = 25,363,030,894.62/142,125.40
  6. Step 6: Final answer
    x = 178,455.30

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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.