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Finding the Fourth Proportional to 266,094.51, 398,929.74 and 153,647.17

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Solution

The fourth proportional to 266,094.51, 398,929.74 and 153,647.17 is: 230,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,094.51 : 398,929.74 = 153,647.17 : x
  2. Step 2: Convert to fraction form
    266,094.51/398,929.74 = 153,647.17/x
  3. Step 3: Cross multiply
    266,094.51x = 398,929.74 × 153,647.17
  4. Step 4: Simplify right side
    266,094.51x = 61,294,425,579.84
  5. Step 5: Solve for x
    x = 61,294,425,579.84/266,094.51
  6. Step 6: Final answer
    x = 230,348.33

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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.