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Finding the Fourth Proportional to 144,295.20, 216,442.80 and 109,303.20

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Solution

The fourth proportional to 144,295.20, 216,442.80 and 109,303.20 is: 163,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,295.20 : 216,442.80 = 109,303.20 : x
  2. Step 2: Convert to fraction form
    144,295.20/216,442.80 = 109,303.20/x
  3. Step 3: Cross multiply
    144,295.20x = 216,442.80 × 109,303.20
  4. Step 4: Simplify right side
    144,295.20x = 23,657,890,656.96
  5. Step 5: Solve for x
    x = 23,657,890,656.96/144,295.20
  6. Step 6: Final answer
    x = 163,954.80

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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.