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Finding the Fourth Proportional to 176,809.60, 264,922.80 and 147,066.40

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Solution

The fourth proportional to 176,809.60, 264,922.80 and 147,066.40 is: 220,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,809.60 : 264,922.80 = 147,066.40 : x
  2. Step 2: Convert to fraction form
    176,809.60/264,922.80 = 147,066.40/x
  3. Step 3: Cross multiply
    176,809.60x = 264,922.80 × 147,066.40
  4. Step 4: Simplify right side
    176,809.60x = 38,961,242,473.92
  5. Step 5: Solve for x
    x = 38,961,242,473.92/176,809.60
  6. Step 6: Final answer
    x = 220,357.05

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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.