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Finding the Fourth Proportional to 117,538.60, 176,307.90 and 70,767.40

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Solution

The fourth proportional to 117,538.60, 176,307.90 and 70,767.40 is: 106,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538.60 : 176,307.90 = 70,767.40 : x
  2. Step 2: Convert to fraction form
    117,538.60/176,307.90 = 70,767.40/x
  3. Step 3: Cross multiply
    117,538.60x = 176,307.90 × 70,767.40
  4. Step 4: Simplify right side
    117,538.60x = 12,476,851,682.46
  5. Step 5: Solve for x
    x = 12,476,851,682.46/117,538.60
  6. Step 6: Final answer
    x = 106,151.10

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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.