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Finding the Fourth Proportional to 176,853.24, 264,881.34 and 101,795.40

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Solution

The fourth proportional to 176,853.24, 264,881.34 and 101,795.40 is: 152,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,853.24 : 264,881.34 = 101,795.40 : x
  2. Step 2: Convert to fraction form
    176,853.24/264,881.34 = 101,795.40/x
  3. Step 3: Cross multiply
    176,853.24x = 264,881.34 × 101,795.40
  4. Step 4: Simplify right side
    176,853.24x = 26,963,701,957.84
  5. Step 5: Solve for x
    x = 26,963,701,957.84/176,853.24
  6. Step 6: Final answer
    x = 152,463.71

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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.