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Finding the Fourth Proportional to 144,562.40, 216,697.80 and 65,733.20

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Solution

The fourth proportional to 144,562.40, 216,697.80 and 65,733.20 is: 98,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,562.40 : 216,697.80 = 65,733.20 : x
  2. Step 2: Convert to fraction form
    144,562.40/216,697.80 = 65,733.20/x
  3. Step 3: Cross multiply
    144,562.40x = 216,697.80 × 65,733.20
  4. Step 4: Simplify right side
    144,562.40x = 14,244,239,826.96
  5. Step 5: Solve for x
    x = 14,244,239,826.96/144,562.40
  6. Step 6: Final answer
    x = 98,533.50

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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.