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Finding the Fourth Proportional to 145,456.86, 216,758.72 and 144,232.14

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Solution

The fourth proportional to 145,456.86, 216,758.72 and 144,232.14 is: 214,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456.86 : 216,758.72 = 144,232.14 : x
  2. Step 2: Convert to fraction form
    145,456.86/216,758.72 = 144,232.14/x
  3. Step 3: Cross multiply
    145,456.86x = 216,758.72 × 144,232.14
  4. Step 4: Simplify right side
    145,456.86x = 31,263,573,328.10
  5. Step 5: Solve for x
    x = 31,263,573,328.10/145,456.86
  6. Step 6: Final answer
    x = 214,933.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.