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Finding the Fourth Proportional to 176,868, 244,078.08 and 97,380

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Solution

The fourth proportional to 176,868, 244,078.08 and 97,380 is: 134,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,868 : 244,078.08 = 97,380 : x
  2. Step 2: Convert to fraction form
    176,868/244,078.08 = 97,380/x
  3. Step 3: Cross multiply
    176,868x = 244,078.08 × 97,380
  4. Step 4: Simplify right side
    176,868x = 23,768,323,430.40
  5. Step 5: Solve for x
    x = 23,768,323,430.40/176,868
  6. Step 6: Final answer
    x = 134,384.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.