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Finding the Fourth Proportional to 102,104.73, 153,184.64 and 35,548.65

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Solution

The fourth proportional to 102,104.73, 153,184.64 and 35,548.65 is: 53,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.73 : 153,184.64 = 35,548.65 : x
  2. Step 2: Convert to fraction form
    102,104.73/153,184.64 = 35,548.65/x
  3. Step 3: Cross multiply
    102,104.73x = 153,184.64 × 35,548.65
  4. Step 4: Simplify right side
    102,104.73x = 5,445,506,974.99
  5. Step 5: Solve for x
    x = 5,445,506,974.99/102,104.73
  6. Step 6: Final answer
    x = 53,332.56

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1.5x scale

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.