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Finding the Fourth Proportional to 210,510.08, 290,508.10 and 115,022.68

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Solution

The fourth proportional to 210,510.08, 290,508.10 and 115,022.68 is: 158,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,510.08 : 290,508.10 = 115,022.68 : x
  2. Step 2: Convert to fraction form
    210,510.08/290,508.10 = 115,022.68/x
  3. Step 3: Cross multiply
    210,510.08x = 290,508.10 × 115,022.68
  4. Step 4: Simplify right side
    210,510.08x = 33,415,020,223.71
  5. Step 5: Solve for x
    x = 33,415,020,223.71/210,510.08
  6. Step 6: Final answer
    x = 158,733.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.