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Finding the Fourth Proportional to 145,656.40, 218,491.80 and 75,672.40

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Solution

The fourth proportional to 145,656.40, 218,491.80 and 75,672.40 is: 113,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656.40 : 218,491.80 = 75,672.40 : x
  2. Step 2: Convert to fraction form
    145,656.40/218,491.80 = 75,672.40/x
  3. Step 3: Cross multiply
    145,656.40x = 218,491.80 × 75,672.40
  4. Step 4: Simplify right side
    145,656.40x = 16,533,798,886.32
  5. Step 5: Solve for x
    x = 16,533,798,886.32/145,656.40
  6. Step 6: Final answer
    x = 113,512.34

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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.