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Finding the Fourth Proportional to 102,596.34, 153,948.71 and 72,803.10

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Solution

The fourth proportional to 102,596.34, 153,948.71 and 72,803.10 is: 109,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.34 : 153,948.71 = 72,803.10 : x
  2. Step 2: Convert to fraction form
    102,596.34/153,948.71 = 72,803.10/x
  3. Step 3: Cross multiply
    102,596.34x = 153,948.71 × 72,803.10
  4. Step 4: Simplify right side
    102,596.34x = 11,207,942,964.99
  5. Step 5: Solve for x
    x = 11,207,942,964.99/102,596.34
  6. Step 6: Final answer
    x = 109,243.11

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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.