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Finding the Fourth Proportional to 286,044.83, 429,053.33 and 106,165.30

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Solution

The fourth proportional to 286,044.83, 429,053.33 and 106,165.30 is: 159,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,044.83 : 429,053.33 = 106,165.30 : x
  2. Step 2: Convert to fraction form
    286,044.83/429,053.33 = 106,165.30/x
  3. Step 3: Cross multiply
    286,044.83x = 429,053.33 × 106,165.30
  4. Step 4: Simplify right side
    286,044.83x = 45,550,574,688.23
  5. Step 5: Solve for x
    x = 45,550,574,688.23/286,044.83
  6. Step 6: Final answer
    x = 159,242.78

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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.