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Finding the Fourth Proportional to 156,792, 235,227.06 and 45,984

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Solution

The fourth proportional to 156,792, 235,227.06 and 45,984 is: 68,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,792 : 235,227.06 = 45,984 : x
  2. Step 2: Convert to fraction form
    156,792/235,227.06 = 45,984/x
  3. Step 3: Cross multiply
    156,792x = 235,227.06 × 45,984
  4. Step 4: Simplify right side
    156,792x = 10,816,681,127.04
  5. Step 5: Solve for x
    x = 10,816,681,127.04/156,792
  6. Step 6: Final answer
    x = 68,987.46

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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.