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Finding the Fourth Proportional to 169,275.50, 233,600.23 and 93,824

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Solution

The fourth proportional to 169,275.50, 233,600.23 and 93,824 is: 129,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,275.50 : 233,600.23 = 93,824 : x
  2. Step 2: Convert to fraction form
    169,275.50/233,600.23 = 93,824/x
  3. Step 3: Cross multiply
    169,275.50x = 233,600.23 × 93,824
  4. Step 4: Simplify right side
    169,275.50x = 21,917,307,510.40
  5. Step 5: Solve for x
    x = 21,917,307,510.40/169,275.50
  6. Step 6: Final answer
    x = 129,477.14

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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.