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Finding the Fourth Proportional to 266,004, 367,085.52 and 146,772

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Solution

The fourth proportional to 266,004, 367,085.52 and 146,772 is: 202,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,004 : 367,085.52 = 146,772 : x
  2. Step 2: Convert to fraction form
    266,004/367,085.52 = 146,772/x
  3. Step 3: Cross multiply
    266,004x = 367,085.52 × 146,772
  4. Step 4: Simplify right side
    266,004x = 53,877,875,941.44
  5. Step 5: Solve for x
    x = 53,877,875,941.44/266,004
  6. Step 6: Final answer
    x = 202,545.36

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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.