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Finding the Fourth Proportional to 174,594.60, 240,971.94 and 102,970.44

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Solution

The fourth proportional to 174,594.60, 240,971.94 and 102,970.44 is: 142,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,594.60 : 240,971.94 = 102,970.44 : x
  2. Step 2: Convert to fraction form
    174,594.60/240,971.94 = 102,970.44/x
  3. Step 3: Cross multiply
    174,594.60x = 240,971.94 × 102,970.44
  4. Step 4: Simplify right side
    174,594.60x = 24,812,986,689.45
  5. Step 5: Solve for x
    x = 24,812,986,689.45/174,594.60
  6. Step 6: Final answer
    x = 142,117.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.