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Finding the Fourth Proportional to 99,275.40, 148,913.10 and 82,362.60

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Solution

The fourth proportional to 99,275.40, 148,913.10 and 82,362.60 is: 123,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,275.40 : 148,913.10 = 82,362.60 : x
  2. Step 2: Convert to fraction form
    99,275.40/148,913.10 = 82,362.60/x
  3. Step 3: Cross multiply
    99,275.40x = 148,913.10 × 82,362.60
  4. Step 4: Simplify right side
    99,275.40x = 12,264,870,090.06
  5. Step 5: Solve for x
    x = 12,264,870,090.06/99,275.40
  6. Step 6: Final answer
    x = 123,543.90

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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.