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Finding the Fourth Proportional to 147,070.92, 220,606.40 and 102,784.17

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Solution

The fourth proportional to 147,070.92, 220,606.40 and 102,784.17 is: 154,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,070.92 : 220,606.40 = 102,784.17 : x
  2. Step 2: Convert to fraction form
    147,070.92/220,606.40 = 102,784.17/x
  3. Step 3: Cross multiply
    147,070.92x = 220,606.40 × 102,784.17
  4. Step 4: Simplify right side
    147,070.92x = 22,674,846,804.92
  5. Step 5: Solve for x
    x = 22,674,846,804.92/147,070.92
  6. Step 6: Final answer
    x = 154,176.27

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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.