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Finding the Fourth Proportional to 151,019.19, 208,402.05 and 83,036.10

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Solution

The fourth proportional to 151,019.19, 208,402.05 and 83,036.10 is: 114,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,019.19 : 208,402.05 = 83,036.10 : x
  2. Step 2: Convert to fraction form
    151,019.19/208,402.05 = 83,036.10/x
  3. Step 3: Cross multiply
    151,019.19x = 208,402.05 × 83,036.10
  4. Step 4: Simplify right side
    151,019.19x = 17,304,893,464.01
  5. Step 5: Solve for x
    x = 17,304,893,464.01/151,019.19
  6. Step 6: Final answer
    x = 114,587.38

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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.