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Finding the Fourth Proportional to 310,105.00, 464,862.20 and 99,595.31

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Solution

The fourth proportional to 310,105.00, 464,862.20 and 99,595.31 is: 149,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,105.00 : 464,862.20 = 99,595.31 : x
  2. Step 2: Convert to fraction form
    310,105.00/464,862.20 = 99,595.31/x
  3. Step 3: Cross multiply
    310,105.00x = 464,862.20 × 99,595.31
  4. Step 4: Simplify right side
    310,105.00x = 46,298,096,327.43
  5. Step 5: Solve for x
    x = 46,298,096,327.43/310,105.00
  6. Step 6: Final answer
    x = 149,298.13

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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.