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Finding the Fourth Proportional to 142,457.60, 213,394.80 and 72,376.40

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Solution

The fourth proportional to 142,457.60, 213,394.80 and 72,376.40 is: 108,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,457.60 : 213,394.80 = 72,376.40 : x
  2. Step 2: Convert to fraction form
    142,457.60/213,394.80 = 72,376.40/x
  3. Step 3: Cross multiply
    142,457.60x = 213,394.80 × 72,376.40
  4. Step 4: Simplify right side
    142,457.60x = 15,444,747,402.72
  5. Step 5: Solve for x
    x = 15,444,747,402.72/142,457.60
  6. Step 6: Final answer
    x = 108,416.45

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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.