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Finding the Fourth Proportional to 296,132.76, 408,663.18 and 160,166.70

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Solution

The fourth proportional to 296,132.76, 408,663.18 and 160,166.70 is: 221,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,132.76 : 408,663.18 = 160,166.70 : x
  2. Step 2: Convert to fraction form
    296,132.76/408,663.18 = 160,166.70/x
  3. Step 3: Cross multiply
    296,132.76x = 408,663.18 × 160,166.70
  4. Step 4: Simplify right side
    296,132.76x = 65,454,232,952.11
  5. Step 5: Solve for x
    x = 65,454,232,952.11/296,132.76
  6. Step 6: Final answer
    x = 221,030.03

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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.