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Finding the Fourth Proportional to 176,080.50, 264,159.63 and 65,272.50

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Solution

The fourth proportional to 176,080.50, 264,159.63 and 65,272.50 is: 97,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,080.50 : 264,159.63 = 65,272.50 : x
  2. Step 2: Convert to fraction form
    176,080.50/264,159.63 = 65,272.50/x
  3. Step 3: Cross multiply
    176,080.50x = 264,159.63 × 65,272.50
  4. Step 4: Simplify right side
    176,080.50x = 17,242,359,449.18
  5. Step 5: Solve for x
    x = 17,242,359,449.18/176,080.50
  6. Step 6: Final answer
    x = 97,923.16

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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.