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Finding the Fourth Proportional to 106,509.40, 159,569.70 and 86,680.60

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Solution

The fourth proportional to 106,509.40, 159,569.70 and 86,680.60 is: 129,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.40 : 159,569.70 = 86,680.60 : x
  2. Step 2: Convert to fraction form
    106,509.40/159,569.70 = 86,680.60/x
  3. Step 3: Cross multiply
    106,509.40x = 159,569.70 × 86,680.60
  4. Step 4: Simplify right side
    106,509.40x = 13,831,597,337.82
  5. Step 5: Solve for x
    x = 13,831,597,337.82/106,509.40
  6. Step 6: Final answer
    x = 129,862.69

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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.