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Finding the Fourth Proportional to 253,585.08, 380,322.54 and 76,044.42

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Solution

The fourth proportional to 253,585.08, 380,322.54 and 76,044.42 is: 114,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,585.08 : 380,322.54 = 76,044.42 : x
  2. Step 2: Convert to fraction form
    253,585.08/380,322.54 = 76,044.42/x
  3. Step 3: Cross multiply
    253,585.08x = 380,322.54 × 76,044.42
  4. Step 4: Simplify right side
    253,585.08x = 28,921,406,967.23
  5. Step 5: Solve for x
    x = 28,921,406,967.23/253,585.08
  6. Step 6: Final answer
    x = 114,050.11

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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.