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Finding the Fourth Proportional to 333,742.85, 500,264.35 and 156,100.13

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Solution

The fourth proportional to 333,742.85, 500,264.35 and 156,100.13 is: 233,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,742.85 : 500,264.35 = 156,100.13 : x
  2. Step 2: Convert to fraction form
    333,742.85/500,264.35 = 156,100.13/x
  3. Step 3: Cross multiply
    333,742.85x = 500,264.35 × 156,100.13
  4. Step 4: Simplify right side
    333,742.85x = 78,091,327,177.79
  5. Step 5: Solve for x
    x = 78,091,327,177.79/333,742.85
  6. Step 6: Final answer
    x = 233,986.52

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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.