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Finding the Fourth Proportional to 148,903.64, 223,407.30 and 70,078.04

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Solution

The fourth proportional to 148,903.64, 223,407.30 and 70,078.04 is: 105,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,903.64 : 223,407.30 = 70,078.04 : x
  2. Step 2: Convert to fraction form
    148,903.64/223,407.30 = 70,078.04/x
  3. Step 3: Cross multiply
    148,903.64x = 223,407.30 × 70,078.04
  4. Step 4: Simplify right side
    148,903.64x = 15,655,945,705.69
  5. Step 5: Solve for x
    x = 15,655,945,705.69/148,903.64
  6. Step 6: Final answer
    x = 105,141.46

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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.