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Finding the Fourth Proportional to 144,095.10, 216,059.28 and 69,113.16

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Solution

The fourth proportional to 144,095.10, 216,059.28 and 69,113.16 is: 103,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,095.10 : 216,059.28 = 69,113.16 : x
  2. Step 2: Convert to fraction form
    144,095.10/216,059.28 = 69,113.16/x
  3. Step 3: Cross multiply
    144,095.10x = 216,059.28 × 69,113.16
  4. Step 4: Simplify right side
    144,095.10x = 14,932,539,588.12
  5. Step 5: Solve for x
    x = 14,932,539,588.12/144,095.10
  6. Step 6: Final answer
    x = 103,629.75

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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.