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Finding the Fourth Proportional to 310,042.20, 465,128.10 and 99,701.40

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Solution

The fourth proportional to 310,042.20, 465,128.10 and 99,701.40 is: 149,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,042.20 : 465,128.10 = 99,701.40 : x
  2. Step 2: Convert to fraction form
    310,042.20/465,128.10 = 99,701.40/x
  3. Step 3: Cross multiply
    310,042.20x = 465,128.10 × 99,701.40
  4. Step 4: Simplify right side
    310,042.20x = 46,373,922,749.34
  5. Step 5: Solve for x
    x = 46,373,922,749.34/310,042.20
  6. Step 6: Final answer
    x = 149,572.94

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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.