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Finding the Fourth Proportional to 178,038, 245,692.98 and 97,466.22

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Solution

The fourth proportional to 178,038, 245,692.98 and 97,466.22 is: 134,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,038 : 245,692.98 = 97,466.22 : x
  2. Step 2: Convert to fraction form
    178,038/245,692.98 = 97,466.22/x
  3. Step 3: Cross multiply
    178,038x = 245,692.98 × 97,466.22
  4. Step 4: Simplify right side
    178,038x = 23,946,766,041.14
  5. Step 5: Solve for x
    x = 23,946,766,041.14/178,038
  6. Step 6: Final answer
    x = 134,503.68

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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.