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Finding the Fourth Proportional to 210,177.38, 290,051.79 and 114,689.32

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Solution

The fourth proportional to 210,177.38, 290,051.79 and 114,689.32 is: 158,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,177.38 : 290,051.79 = 114,689.32 : x
  2. Step 2: Convert to fraction form
    210,177.38/290,051.79 = 114,689.32/x
  3. Step 3: Cross multiply
    210,177.38x = 290,051.79 × 114,689.32
  4. Step 4: Simplify right side
    210,177.38x = 33,265,841,404.67
  5. Step 5: Solve for x
    x = 33,265,841,404.67/210,177.38
  6. Step 6: Final answer
    x = 158,275.08

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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.