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Finding the Fourth Proportional to 144,143.68, 216,215.52 and 45,640

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Solution

The fourth proportional to 144,143.68, 216,215.52 and 45,640 is: 68,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,143.68 : 216,215.52 = 45,640 : x
  2. Step 2: Convert to fraction form
    144,143.68/216,215.52 = 45,640/x
  3. Step 3: Cross multiply
    144,143.68x = 216,215.52 × 45,640
  4. Step 4: Simplify right side
    144,143.68x = 9,868,076,332.80
  5. Step 5: Solve for x
    x = 9,868,076,332.80/144,143.68
  6. Step 6: Final answer
    x = 68,460

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.