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Finding the Fourth Proportional to 107,588.64, 160,948.80 and 96,384.72

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Solution

The fourth proportional to 107,588.64, 160,948.80 and 96,384.72 is: 144,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,588.64 : 160,948.80 = 96,384.72 : x
  2. Step 2: Convert to fraction form
    107,588.64/160,948.80 = 96,384.72/x
  3. Step 3: Cross multiply
    107,588.64x = 160,948.80 × 96,384.72
  4. Step 4: Simplify right side
    107,588.64x = 15,513,005,022.34
  5. Step 5: Solve for x
    x = 15,513,005,022.34/107,588.64
  6. Step 6: Final answer
    x = 144,188.13

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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.