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Finding the Fourth Proportional to 106,802.40, 160,318.80 and 60,146.40

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Solution

The fourth proportional to 106,802.40, 160,318.80 and 60,146.40 is: 90,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802.40 : 160,318.80 = 60,146.40 : x
  2. Step 2: Convert to fraction form
    106,802.40/160,318.80 = 60,146.40/x
  3. Step 3: Cross multiply
    106,802.40x = 160,318.80 × 60,146.40
  4. Step 4: Simplify right side
    106,802.40x = 9,642,598,672.32
  5. Step 5: Solve for x
    x = 9,642,598,672.32/106,802.40
  6. Step 6: Final answer
    x = 90,284.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.