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Finding the Fourth Proportional to 97,278, 134,243.64 and 52,566

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Solution

The fourth proportional to 97,278, 134,243.64 and 52,566 is: 72,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,278 : 134,243.64 = 52,566 : x
  2. Step 2: Convert to fraction form
    97,278/134,243.64 = 52,566/x
  3. Step 3: Cross multiply
    97,278x = 134,243.64 × 52,566
  4. Step 4: Simplify right side
    97,278x = 7,056,651,180.24
  5. Step 5: Solve for x
    x = 7,056,651,180.24/97,278
  6. Step 6: Final answer
    x = 72,541.08

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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.