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Finding the Fourth Proportional to 102,343.65, 153,460.80 and 43,112.40

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Solution

The fourth proportional to 102,343.65, 153,460.80 and 43,112.40 is: 64,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,343.65 : 153,460.80 = 43,112.40 : x
  2. Step 2: Convert to fraction form
    102,343.65/153,460.80 = 43,112.40/x
  3. Step 3: Cross multiply
    102,343.65x = 153,460.80 × 43,112.40
  4. Step 4: Simplify right side
    102,343.65x = 6,616,063,393.92
  5. Step 5: Solve for x
    x = 6,616,063,393.92/102,343.65
  6. Step 6: Final answer
    x = 64,645.57

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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.