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Finding the Fourth Proportional to 145,848.75, 218,773.13 and 47,352.75

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Solution

The fourth proportional to 145,848.75, 218,773.13 and 47,352.75 is: 71,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,848.75 : 218,773.13 = 47,352.75 : x
  2. Step 2: Convert to fraction form
    145,848.75/218,773.13 = 47,352.75/x
  3. Step 3: Cross multiply
    145,848.75x = 218,773.13 × 47,352.75
  4. Step 4: Simplify right side
    145,848.75x = 10,359,509,094.84
  5. Step 5: Solve for x
    x = 10,359,509,094.84/145,848.75
  6. Step 6: Final answer
    x = 71,029.13

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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.