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Finding the Fourth Proportional to 233,166.60, 349,749.90 and 177,179.40

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Solution

The fourth proportional to 233,166.60, 349,749.90 and 177,179.40 is: 265,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,166.60 : 349,749.90 = 177,179.40 : x
  2. Step 2: Convert to fraction form
    233,166.60/349,749.90 = 177,179.40/x
  3. Step 3: Cross multiply
    233,166.60x = 349,749.90 × 177,179.40
  4. Step 4: Simplify right side
    233,166.60x = 61,968,477,432.06
  5. Step 5: Solve for x
    x = 61,968,477,432.06/233,166.60
  6. Step 6: Final answer
    x = 265,769.10

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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.