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Finding the Fourth Proportional to 286,065.54, 429,098.67 and 99,077.04

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Solution

The fourth proportional to 286,065.54, 429,098.67 and 99,077.04 is: 148,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065.54 : 429,098.67 = 99,077.04 : x
  2. Step 2: Convert to fraction form
    286,065.54/429,098.67 = 99,077.04/x
  3. Step 3: Cross multiply
    286,065.54x = 429,098.67 × 99,077.04
  4. Step 4: Simplify right side
    286,065.54x = 42,513,826,091.54
  5. Step 5: Solve for x
    x = 42,513,826,091.54/286,065.54
  6. Step 6: Final answer
    x = 148,615.68

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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.