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Finding the Fourth Proportional to 106,963.60, 160,445.40 and 97,632.40

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Solution

The fourth proportional to 106,963.60, 160,445.40 and 97,632.40 is: 146,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,963.60 : 160,445.40 = 97,632.40 : x
  2. Step 2: Convert to fraction form
    106,963.60/160,445.40 = 97,632.40/x
  3. Step 3: Cross multiply
    106,963.60x = 160,445.40 × 97,632.40
  4. Step 4: Simplify right side
    106,963.60x = 15,664,669,470.96
  5. Step 5: Solve for x
    x = 15,664,669,470.96/106,963.60
  6. Step 6: Final answer
    x = 146,448.60

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1.5x scale

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.