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Finding the Fourth Proportional to 152,878.42, 210,965.16 and 84,899.71

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Solution

The fourth proportional to 152,878.42, 210,965.16 and 84,899.71 is: 117,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,878.42 : 210,965.16 = 84,899.71 : x
  2. Step 2: Convert to fraction form
    152,878.42/210,965.16 = 84,899.71/x
  3. Step 3: Cross multiply
    152,878.42x = 210,965.16 × 84,899.71
  4. Step 4: Simplify right side
    152,878.42x = 17,910,880,904.10
  5. Step 5: Solve for x
    x = 17,910,880,904.10/152,878.42
  6. Step 6: Final answer
    x = 117,157.68

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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.