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Finding the Fourth Proportional to 176,148.84, 243,085.32 and 100,698.96

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Solution

The fourth proportional to 176,148.84, 243,085.32 and 100,698.96 is: 138,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,148.84 : 243,085.32 = 100,698.96 : x
  2. Step 2: Convert to fraction form
    176,148.84/243,085.32 = 100,698.96/x
  3. Step 3: Cross multiply
    176,148.84x = 243,085.32 × 100,698.96
  4. Step 4: Simplify right side
    176,148.84x = 24,478,438,915.27
  5. Step 5: Solve for x
    x = 24,478,438,915.27/176,148.84
  6. Step 6: Final answer
    x = 138,964.52

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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.