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Finding the Fourth Proportional to 177,337.80, 265,569.30 and 117,851.40

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Solution

The fourth proportional to 177,337.80, 265,569.30 and 117,851.40 is: 176,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,337.80 : 265,569.30 = 117,851.40 : x
  2. Step 2: Convert to fraction form
    177,337.80/265,569.30 = 117,851.40/x
  3. Step 3: Cross multiply
    177,337.80x = 265,569.30 × 117,851.40
  4. Step 4: Simplify right side
    177,337.80x = 31,297,713,802.02
  5. Step 5: Solve for x
    x = 31,297,713,802.02/177,337.80
  6. Step 6: Final answer
    x = 176,486.42

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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.