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Finding the Fourth Proportional to 266,094, 367,210.20 and 146,862

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Solution

The fourth proportional to 266,094, 367,210.20 and 146,862 is: 202,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,094 : 367,210.20 = 146,862 : x
  2. Step 2: Convert to fraction form
    266,094/367,210.20 = 146,862/x
  3. Step 3: Cross multiply
    266,094x = 367,210.20 × 146,862
  4. Step 4: Simplify right side
    266,094x = 53,929,224,392.40
  5. Step 5: Solve for x
    x = 53,929,224,392.40/266,094
  6. Step 6: Final answer
    x = 202,669.82

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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.