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Finding the Fourth Proportional to 176,116.08, 264,277.80 and 65,385.84

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Solution

The fourth proportional to 176,116.08, 264,277.80 and 65,385.84 is: 98,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,116.08 : 264,277.80 = 65,385.84 : x
  2. Step 2: Convert to fraction form
    176,116.08/264,277.80 = 65,385.84/x
  3. Step 3: Cross multiply
    176,116.08x = 264,277.80 × 65,385.84
  4. Step 4: Simplify right side
    176,116.08x = 17,280,025,946.35
  5. Step 5: Solve for x
    x = 17,280,025,946.35/176,116.08
  6. Step 6: Final answer
    x = 98,117.25

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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.