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Finding the Fourth Proportional to 113,294.34, 156,365.76 and 65,574

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Solution

The fourth proportional to 113,294.34, 156,365.76 and 65,574 is: 90,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,294.34 : 156,365.76 = 65,574 : x
  2. Step 2: Convert to fraction form
    113,294.34/156,365.76 = 65,574/x
  3. Step 3: Cross multiply
    113,294.34x = 156,365.76 × 65,574
  4. Step 4: Simplify right side
    113,294.34x = 10,253,528,346.24
  5. Step 5: Solve for x
    x = 10,253,528,346.24/113,294.34
  6. Step 6: Final answer
    x = 90,503.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.