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Finding the Fourth Proportional to 164,706, 247,389.60 and 98,275.76

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Solution

The fourth proportional to 164,706, 247,389.60 and 98,275.76 is: 147,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706 : 247,389.60 = 98,275.76 : x
  2. Step 2: Convert to fraction form
    164,706/247,389.60 = 98,275.76/x
  3. Step 3: Cross multiply
    164,706x = 247,389.60 × 98,275.76
  4. Step 4: Simplify right side
    164,706x = 24,312,400,956.10
  5. Step 5: Solve for x
    x = 24,312,400,956.10/164,706
  6. Step 6: Final answer
    x = 147,610.90

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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.