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Finding the Fourth Proportional to 174,048.20, 260,780.70 and 148,970.60

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Solution

The fourth proportional to 174,048.20, 260,780.70 and 148,970.60 is: 223,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,048.20 : 260,780.70 = 148,970.60 : x
  2. Step 2: Convert to fraction form
    174,048.20/260,780.70 = 148,970.60/x
  3. Step 3: Cross multiply
    174,048.20x = 260,780.70 × 148,970.60
  4. Step 4: Simplify right side
    174,048.20x = 38,848,657,347.42
  5. Step 5: Solve for x
    x = 38,848,657,347.42/174,048.20
  6. Step 6: Final answer
    x = 223,206.31

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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.