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Finding the Fourth Proportional to 163,959.60, 230,010 and 163,959.60

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Solution

The fourth proportional to 163,959.60, 230,010 and 163,959.60 is: 230,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,959.60 : 230,010 = 163,959.60 : x
  2. Step 2: Convert to fraction form
    163,959.60/230,010 = 163,959.60/x
  3. Step 3: Cross multiply
    163,959.60x = 230,010 × 163,959.60
  4. Step 4: Simplify right side
    163,959.60x = 37,712,347,596
  5. Step 5: Solve for x
    x = 37,712,347,596/163,959.60
  6. Step 6: Final answer
    x = 230,010

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.