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Finding the Fourth Proportional to 233,364.16, 322,049.06 and 142,718.50

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Solution

The fourth proportional to 233,364.16, 322,049.06 and 142,718.50 is: 196,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,364.16 : 322,049.06 = 142,718.50 : x
  2. Step 2: Convert to fraction form
    233,364.16/322,049.06 = 142,718.50/x
  3. Step 3: Cross multiply
    233,364.16x = 322,049.06 × 142,718.50
  4. Step 4: Simplify right side
    233,364.16x = 45,962,358,769.61
  5. Step 5: Solve for x
    x = 45,962,358,769.61/233,364.16
  6. Step 6: Final answer
    x = 196,955.52

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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.