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Finding the Fourth Proportional to 106,564.01, 147,024.11 and 70,761.20

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Solution

The fourth proportional to 106,564.01, 147,024.11 and 70,761.20 is: 97,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.01 : 147,024.11 = 70,761.20 : x
  2. Step 2: Convert to fraction form
    106,564.01/147,024.11 = 70,761.20/x
  3. Step 3: Cross multiply
    106,564.01x = 147,024.11 × 70,761.20
  4. Step 4: Simplify right side
    106,564.01x = 10,403,601,894.31
  5. Step 5: Solve for x
    x = 10,403,601,894.31/106,564.01
  6. Step 6: Final answer
    x = 97,627.73

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1.5x scale

Why These Related Problems?

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