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Finding the Fourth Proportional to 157,476.60, 236,214.90 and 148,947.30

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Solution

The fourth proportional to 157,476.60, 236,214.90 and 148,947.30 is: 223,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,476.60 : 236,214.90 = 148,947.30 : x
  2. Step 2: Convert to fraction form
    157,476.60/236,214.90 = 148,947.30/x
  3. Step 3: Cross multiply
    157,476.60x = 236,214.90 × 148,947.30
  4. Step 4: Simplify right side
    157,476.60x = 35,183,571,574.77
  5. Step 5: Solve for x
    x = 35,183,571,574.77/157,476.60
  6. Step 6: Final answer
    x = 223,420.95

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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.