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Finding the Fourth Proportional to 201,026.53, 277,417 and 116,143.66

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Solution

The fourth proportional to 201,026.53, 277,417 and 116,143.66 is: 160,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,026.53 : 277,417 = 116,143.66 : x
  2. Step 2: Convert to fraction form
    201,026.53/277,417 = 116,143.66/x
  3. Step 3: Cross multiply
    201,026.53x = 277,417 × 116,143.66
  4. Step 4: Simplify right side
    201,026.53x = 32,220,225,726.22
  5. Step 5: Solve for x
    x = 32,220,225,726.22/201,026.53
  6. Step 6: Final answer
    x = 160,278.48

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1.5x scale

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.