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Finding the Fourth Proportional to 152,407.81, 227,684.76 and 98,661.95

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Solution

The fourth proportional to 152,407.81, 227,684.76 and 98,661.95 is: 147,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.81 : 227,684.76 = 98,661.95 : x
  2. Step 2: Convert to fraction form
    152,407.81/227,684.76 = 98,661.95/x
  3. Step 3: Cross multiply
    152,407.81x = 227,684.76 × 98,661.95
  4. Step 4: Simplify right side
    152,407.81x = 22,463,822,406.88
  5. Step 5: Solve for x
    x = 22,463,822,406.88/152,407.81
  6. Step 6: Final answer
    x = 147,392.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.