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Finding the Fourth Proportional to 210,671.74, 290,726.98 and 115,178.40

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Solution

The fourth proportional to 210,671.74, 290,726.98 and 115,178.40 is: 158,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,671.74 : 290,726.98 = 115,178.40 : x
  2. Step 2: Convert to fraction form
    210,671.74/290,726.98 = 115,178.40/x
  3. Step 3: Cross multiply
    210,671.74x = 290,726.98 × 115,178.40
  4. Step 4: Simplify right side
    210,671.74x = 33,485,468,393.23
  5. Step 5: Solve for x
    x = 33,485,468,393.23/210,671.74
  6. Step 6: Final answer
    x = 158,946.18

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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.