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Finding the Fourth Proportional to 131,312.48, 196,988.16 and 48,200

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Solution

The fourth proportional to 131,312.48, 196,988.16 and 48,200 is: 72,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,312.48 : 196,988.16 = 48,200 : x
  2. Step 2: Convert to fraction form
    131,312.48/196,988.16 = 48,200/x
  3. Step 3: Cross multiply
    131,312.48x = 196,988.16 × 48,200
  4. Step 4: Simplify right side
    131,312.48x = 9,494,829,312
  5. Step 5: Solve for x
    x = 9,494,829,312/131,312.48
  6. Step 6: Final answer
    x = 72,307.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.