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Finding the Fourth Proportional to 177,509.80, 265,827.30 and 118,023.40

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Solution

The fourth proportional to 177,509.80, 265,827.30 and 118,023.40 is: 176,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,509.80 : 265,827.30 = 118,023.40 : x
  2. Step 2: Convert to fraction form
    177,509.80/265,827.30 = 118,023.40/x
  3. Step 3: Cross multiply
    177,509.80x = 265,827.30 × 118,023.40
  4. Step 4: Simplify right side
    177,509.80x = 31,373,841,758.82
  5. Step 5: Solve for x
    x = 31,373,841,758.82/177,509.80
  6. Step 6: Final answer
    x = 176,744.28

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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.