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Finding the Fourth Proportional to 119,268, 164,590.16 and 66,276

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Solution

The fourth proportional to 119,268, 164,590.16 and 66,276 is: 91,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,268 : 164,590.16 = 66,276 : x
  2. Step 2: Convert to fraction form
    119,268/164,590.16 = 66,276/x
  3. Step 3: Cross multiply
    119,268x = 164,590.16 × 66,276
  4. Step 4: Simplify right side
    119,268x = 10,908,377,444.16
  5. Step 5: Solve for x
    x = 10,908,377,444.16/119,268
  6. Step 6: Final answer
    x = 91,461.06

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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.