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Finding the Fourth Proportional to 286,670.96, 430,058.34 and 118,097.61

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Solution

The fourth proportional to 286,670.96, 430,058.34 and 118,097.61 is: 177,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,670.96 : 430,058.34 = 118,097.61 : x
  2. Step 2: Convert to fraction form
    286,670.96/430,058.34 = 118,097.61/x
  3. Step 3: Cross multiply
    286,670.96x = 430,058.34 × 118,097.61
  4. Step 4: Simplify right side
    286,670.96x = 50,788,859,373.79
  5. Step 5: Solve for x
    x = 50,788,859,373.79/286,670.96
  6. Step 6: Final answer
    x = 177,167.79

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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.