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Finding the Fourth Proportional to 102,222.60, 153,333.90 and 97,629.90

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Solution

The fourth proportional to 102,222.60, 153,333.90 and 97,629.90 is: 146,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222.60 : 153,333.90 = 97,629.90 : x
  2. Step 2: Convert to fraction form
    102,222.60/153,333.90 = 97,629.90/x
  3. Step 3: Cross multiply
    102,222.60x = 153,333.90 × 97,629.90
  4. Step 4: Simplify right side
    102,222.60x = 14,969,973,323.61
  5. Step 5: Solve for x
    x = 14,969,973,323.61/102,222.60
  6. Step 6: Final answer
    x = 146,444.85

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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.