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Finding the Fourth Proportional to 181,005.78, 249,784.14 and 100,431.57

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Solution

The fourth proportional to 181,005.78, 249,784.14 and 100,431.57 is: 138,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,005.78 : 249,784.14 = 100,431.57 : x
  2. Step 2: Convert to fraction form
    181,005.78/249,784.14 = 100,431.57/x
  3. Step 3: Cross multiply
    181,005.78x = 249,784.14 × 100,431.57
  4. Step 4: Simplify right side
    181,005.78x = 25,086,213,341.30
  5. Step 5: Solve for x
    x = 25,086,213,341.30/181,005.78
  6. Step 6: Final answer
    x = 138,593.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.