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Finding the Fourth Proportional to 148,809.84, 223,210.08 and 36,490.40

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Solution

The fourth proportional to 148,809.84, 223,210.08 and 36,490.40 is: 54,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,809.84 : 223,210.08 = 36,490.40 : x
  2. Step 2: Convert to fraction form
    148,809.84/223,210.08 = 36,490.40/x
  3. Step 3: Cross multiply
    148,809.84x = 223,210.08 × 36,490.40
  4. Step 4: Simplify right side
    148,809.84x = 8,145,025,103.23
  5. Step 5: Solve for x
    x = 8,145,025,103.23/148,809.84
  6. Step 6: Final answer
    x = 54,734.45

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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.