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Finding the Fourth Proportional to 153,792.16, 230,606.04 and 78,881.76

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Solution

The fourth proportional to 153,792.16, 230,606.04 and 78,881.76 is: 118,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,792.16 : 230,606.04 = 78,881.76 : x
  2. Step 2: Convert to fraction form
    153,792.16/230,606.04 = 78,881.76/x
  3. Step 3: Cross multiply
    153,792.16x = 230,606.04 × 78,881.76
  4. Step 4: Simplify right side
    153,792.16x = 18,190,610,301.83
  5. Step 5: Solve for x
    x = 18,190,610,301.83/153,792.16
  6. Step 6: Final answer
    x = 118,280.48

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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.