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Finding the Fourth Proportional to 302,050.48, 416,838.72 and 166,077.40

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Solution

The fourth proportional to 302,050.48, 416,838.72 and 166,077.40 is: 229,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,050.48 : 416,838.72 = 166,077.40 : x
  2. Step 2: Convert to fraction form
    302,050.48/416,838.72 = 166,077.40/x
  3. Step 3: Cross multiply
    302,050.48x = 416,838.72 × 166,077.40
  4. Step 4: Simplify right side
    302,050.48x = 69,227,490,836.93
  5. Step 5: Solve for x
    x = 69,227,490,836.93/302,050.48
  6. Step 6: Final answer
    x = 229,191.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.