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Finding the Fourth Proportional to 102,085.50, 153,159.30 and 52,200.63

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Solution

The fourth proportional to 102,085.50, 153,159.30 and 52,200.63 is: 78,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,085.50 : 153,159.30 = 52,200.63 : x
  2. Step 2: Convert to fraction form
    102,085.50/153,159.30 = 52,200.63/x
  3. Step 3: Cross multiply
    102,085.50x = 153,159.30 × 52,200.63
  4. Step 4: Simplify right side
    102,085.50x = 7,995,011,950.36
  5. Step 5: Solve for x
    x = 7,995,011,950.36/102,085.50
  6. Step 6: Final answer
    x = 78,316.82

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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.