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Finding the Fourth Proportional to 153,323.40, 229,968.92 and 41,014.95

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Solution

The fourth proportional to 153,323.40, 229,968.92 and 41,014.95 is: 61,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,323.40 : 229,968.92 = 41,014.95 : x
  2. Step 2: Convert to fraction form
    153,323.40/229,968.92 = 41,014.95/x
  3. Step 3: Cross multiply
    153,323.40x = 229,968.92 × 41,014.95
  4. Step 4: Simplify right side
    153,323.40x = 9,432,163,755.35
  5. Step 5: Solve for x
    x = 9,432,163,755.35/153,323.40
  6. Step 6: Final answer
    x = 61,518.10

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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.