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Finding the Fourth Proportional to 277,266.57, 415,903.14 and 97,356.51

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Solution

The fourth proportional to 277,266.57, 415,903.14 and 97,356.51 is: 146,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,266.57 : 415,903.14 = 97,356.51 : x
  2. Step 2: Convert to fraction form
    277,266.57/415,903.14 = 97,356.51/x
  3. Step 3: Cross multiply
    277,266.57x = 415,903.14 × 97,356.51
  4. Step 4: Simplify right side
    277,266.57x = 40,490,878,208.44
  5. Step 5: Solve for x
    x = 40,490,878,208.44/277,266.57
  6. Step 6: Final answer
    x = 146,035.92

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Why These Related Problems?

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