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Finding the Fourth Proportional to 144,295.10, 216,442.65 and 118,051.10

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Solution

The fourth proportional to 144,295.10, 216,442.65 and 118,051.10 is: 177,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,295.10 : 216,442.65 = 118,051.10 : x
  2. Step 2: Convert to fraction form
    144,295.10/216,442.65 = 118,051.10/x
  3. Step 3: Cross multiply
    144,295.10x = 216,442.65 × 118,051.10
  4. Step 4: Simplify right side
    144,295.10x = 25,551,292,919.42
  5. Step 5: Solve for x
    x = 25,551,292,919.42/144,295.10
  6. Step 6: Final answer
    x = 177,076.65

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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.