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Finding the Fourth Proportional to 117,348.60, 176,109.30 and 47,278.20

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Solution

The fourth proportional to 117,348.60, 176,109.30 and 47,278.20 is: 70,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348.60 : 176,109.30 = 47,278.20 : x
  2. Step 2: Convert to fraction form
    117,348.60/176,109.30 = 47,278.20/x
  3. Step 3: Cross multiply
    117,348.60x = 176,109.30 × 47,278.20
  4. Step 4: Simplify right side
    117,348.60x = 8,326,130,707.26
  5. Step 5: Solve for x
    x = 8,326,130,707.26/117,348.60
  6. Step 6: Final answer
    x = 70,952.11

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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.