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Finding the Fourth Proportional to 553,808.22, 830,712.24 and 133,084.10

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Solution

The fourth proportional to 553,808.22, 830,712.24 and 133,084.10 is: 199,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,808.22 : 830,712.24 = 133,084.10 : x
  2. Step 2: Convert to fraction form
    553,808.22/830,712.24 = 133,084.10/x
  3. Step 3: Cross multiply
    553,808.22x = 830,712.24 × 133,084.10
  4. Step 4: Simplify right side
    553,808.22x = 110,554,586,000.40
  5. Step 5: Solve for x
    x = 110,554,586,000.40/553,808.22
  6. Step 6: Final answer
    x = 199,626.12

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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.