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Finding the Fourth Proportional to 288,284.62, 432,281.76 and 96,091.01

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Solution

The fourth proportional to 288,284.62, 432,281.76 and 96,091.01 is: 144,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,284.62 : 432,281.76 = 96,091.01 : x
  2. Step 2: Convert to fraction form
    288,284.62/432,281.76 = 96,091.01/x
  3. Step 3: Cross multiply
    288,284.62x = 432,281.76 × 96,091.01
  4. Step 4: Simplify right side
    288,284.62x = 41,538,390,562.80
  5. Step 5: Solve for x
    x = 41,538,390,562.80/288,284.62
  6. Step 6: Final answer
    x = 144,088.13

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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.