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Finding the Fourth Proportional to 301,446.06, 452,164.48 and 101,906.61

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Solution

The fourth proportional to 301,446.06, 452,164.48 and 101,906.61 is: 152,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446.06 : 452,164.48 = 101,906.61 : x
  2. Step 2: Convert to fraction form
    301,446.06/452,164.48 = 101,906.61/x
  3. Step 3: Cross multiply
    301,446.06x = 452,164.48 × 101,906.61
  4. Step 4: Simplify right side
    301,446.06x = 46,078,547,368.83
  5. Step 5: Solve for x
    x = 46,078,547,368.83/301,446.06
  6. Step 6: Final answer
    x = 152,858.35

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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.