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Finding the Fourth Proportional to 178,077.84, 245,746.51 and 97,503.90

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Solution

The fourth proportional to 178,077.84, 245,746.51 and 97,503.90 is: 134,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,077.84 : 245,746.51 = 97,503.90 : x
  2. Step 2: Convert to fraction form
    178,077.84/245,746.51 = 97,503.90/x
  3. Step 3: Cross multiply
    178,077.84x = 245,746.51 × 97,503.90
  4. Step 4: Simplify right side
    178,077.84x = 23,961,243,136.39
  5. Step 5: Solve for x
    x = 23,961,243,136.39/178,077.84
  6. Step 6: Final answer
    x = 134,554.88

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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.