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Finding the Fourth Proportional to 356,879.01, 535,417.35 and 164,812.14

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Solution

The fourth proportional to 356,879.01, 535,417.35 and 164,812.14 is: 247,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,879.01 : 535,417.35 = 164,812.14 : x
  2. Step 2: Convert to fraction form
    356,879.01/535,417.35 = 164,812.14/x
  3. Step 3: Cross multiply
    356,879.01x = 535,417.35 × 164,812.14
  4. Step 4: Simplify right side
    356,879.01x = 88,243,279,246.63
  5. Step 5: Solve for x
    x = 88,243,279,246.63/356,879.01
  6. Step 6: Final answer
    x = 247,263.85

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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.