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Finding the Fourth Proportional to 153,718.92, 230,437.98 and 53,824.50

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Solution

The fourth proportional to 153,718.92, 230,437.98 and 53,824.50 is: 80,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,718.92 : 230,437.98 = 53,824.50 : x
  2. Step 2: Convert to fraction form
    153,718.92/230,437.98 = 53,824.50/x
  3. Step 3: Cross multiply
    153,718.92x = 230,437.98 × 53,824.50
  4. Step 4: Simplify right side
    153,718.92x = 12,403,209,054.51
  5. Step 5: Solve for x
    x = 12,403,209,054.51/153,718.92
  6. Step 6: Final answer
    x = 80,687.59

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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.