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Finding the Fourth Proportional to 102,354.63, 153,698.67 and 63,160.89

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Solution

The fourth proportional to 102,354.63, 153,698.67 and 63,160.89 is: 94,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.63 : 153,698.67 = 63,160.89 : x
  2. Step 2: Convert to fraction form
    102,354.63/153,698.67 = 63,160.89/x
  3. Step 3: Cross multiply
    102,354.63x = 153,698.67 × 63,160.89
  4. Step 4: Simplify right side
    102,354.63x = 9,707,744,789.02
  5. Step 5: Solve for x
    x = 9,707,744,789.02/102,354.63
  6. Step 6: Final answer
    x = 94,844.22

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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.