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Finding the Fourth Proportional to 287,113.81, 430,637.91 and 76,768.15

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Solution

The fourth proportional to 287,113.81, 430,637.91 and 76,768.15 is: 115,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,113.81 : 430,637.91 = 76,768.15 : x
  2. Step 2: Convert to fraction form
    287,113.81/430,637.91 = 76,768.15/x
  3. Step 3: Cross multiply
    287,113.81x = 430,637.91 × 76,768.15
  4. Step 4: Simplify right side
    287,113.81x = 33,059,275,670.57
  5. Step 5: Solve for x
    x = 33,059,275,670.57/287,113.81
  6. Step 6: Final answer
    x = 115,143.45

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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.