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Finding the Fourth Proportional to 152,158.68, 209,962.74 and 84,164.82

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Solution

The fourth proportional to 152,158.68, 209,962.74 and 84,164.82 is: 116,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,158.68 : 209,962.74 = 84,164.82 : x
  2. Step 2: Convert to fraction form
    152,158.68/209,962.74 = 84,164.82/x
  3. Step 3: Cross multiply
    152,158.68x = 209,962.74 × 84,164.82
  4. Step 4: Simplify right side
    152,158.68x = 17,671,476,218.81
  5. Step 5: Solve for x
    x = 17,671,476,218.81/152,158.68
  6. Step 6: Final answer
    x = 116,138.47

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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.