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Finding the Fourth Proportional to 102,189.69, 153,307.60 and 31,118.69

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Solution

The fourth proportional to 102,189.69, 153,307.60 and 31,118.69 is: 46,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189.69 : 153,307.60 = 31,118.69 : x
  2. Step 2: Convert to fraction form
    102,189.69/153,307.60 = 31,118.69/x
  3. Step 3: Cross multiply
    102,189.69x = 153,307.60 × 31,118.69
  4. Step 4: Simplify right side
    102,189.69x = 4,770,730,834.71
  5. Step 5: Solve for x
    x = 4,770,730,834.71/102,189.69
  6. Step 6: Final answer
    x = 46,685.05

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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.