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Finding the Fourth Proportional to 277,486.95, 382,931.98 and 150,162.54

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Solution

The fourth proportional to 277,486.95, 382,931.98 and 150,162.54 is: 207,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,486.95 : 382,931.98 = 150,162.54 : x
  2. Step 2: Convert to fraction form
    277,486.95/382,931.98 = 150,162.54/x
  3. Step 3: Cross multiply
    277,486.95x = 382,931.98 × 150,162.54
  4. Step 4: Simplify right side
    277,486.95x = 57,502,038,013.22
  5. Step 5: Solve for x
    x = 57,502,038,013.22/277,486.95
  6. Step 6: Final answer
    x = 207,224.30

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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.