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Finding the Fourth Proportional to 177,312.52, 265,968.14 and 72,106.76

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Solution

The fourth proportional to 177,312.52, 265,968.14 and 72,106.76 is: 108,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,312.52 : 265,968.14 = 72,106.76 : x
  2. Step 2: Convert to fraction form
    177,312.52/265,968.14 = 72,106.76/x
  3. Step 3: Cross multiply
    177,312.52x = 265,968.14 × 72,106.76
  4. Step 4: Simplify right side
    177,312.52x = 19,178,100,838.63
  5. Step 5: Solve for x
    x = 19,178,100,838.63/177,312.52
  6. Step 6: Final answer
    x = 108,159.88

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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.