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Finding the Fourth Proportional to 201,461.52, 278,023.52 and 110,824.45

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Solution

The fourth proportional to 201,461.52, 278,023.52 and 110,824.45 is: 152,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.52 : 278,023.52 = 110,824.45 : x
  2. Step 2: Convert to fraction form
    201,461.52/278,023.52 = 110,824.45/x
  3. Step 3: Cross multiply
    201,461.52x = 278,023.52 × 110,824.45
  4. Step 4: Simplify right side
    201,461.52x = 30,811,803,691.06
  5. Step 5: Solve for x
    x = 30,811,803,691.06/201,461.52
  6. Step 6: Final answer
    x = 152,941.38

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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.