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Finding the Fourth Proportional to 109,875.76, 164,544.84 and 99,226.17

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Solution

The fourth proportional to 109,875.76, 164,544.84 and 99,226.17 is: 148,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,875.76 : 164,544.84 = 99,226.17 : x
  2. Step 2: Convert to fraction form
    109,875.76/164,544.84 = 99,226.17/x
  3. Step 3: Cross multiply
    109,875.76x = 164,544.84 × 99,226.17
  4. Step 4: Simplify right side
    109,875.76x = 16,327,154,266.46
  5. Step 5: Solve for x
    x = 16,327,154,266.46/109,875.76
  6. Step 6: Final answer
    x = 148,596.51

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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.