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Finding the Fourth Proportional to 102,117.30, 153,199.58 and 34,645.72

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Solution

The fourth proportional to 102,117.30, 153,199.58 and 34,645.72 is: 51,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.30 : 153,199.58 = 34,645.72 : x
  2. Step 2: Convert to fraction form
    102,117.30/153,199.58 = 34,645.72/x
  3. Step 3: Cross multiply
    102,117.30x = 153,199.58 × 34,645.72
  4. Step 4: Simplify right side
    102,117.30x = 5,307,709,752.80
  5. Step 5: Solve for x
    x = 5,307,709,752.80/102,117.30
  6. Step 6: Final answer
    x = 51,976.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.