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Finding the Fourth Proportional to 145,909.30, 218,701.95 and 57,133.30

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Solution

The fourth proportional to 145,909.30, 218,701.95 and 57,133.30 is: 85,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.30 : 218,701.95 = 57,133.30 : x
  2. Step 2: Convert to fraction form
    145,909.30/218,701.95 = 57,133.30/x
  3. Step 3: Cross multiply
    145,909.30x = 218,701.95 × 57,133.30
  4. Step 4: Simplify right side
    145,909.30x = 12,495,164,119.94
  5. Step 5: Solve for x
    x = 12,495,164,119.94/145,909.30
  6. Step 6: Final answer
    x = 85,636.52

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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.