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Finding the Fourth Proportional to 152,807.64, 210,869.10 and 84,827.58

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Solution

The fourth proportional to 152,807.64, 210,869.10 and 84,827.58 is: 117,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,807.64 : 210,869.10 = 84,827.58 : x
  2. Step 2: Convert to fraction form
    152,807.64/210,869.10 = 84,827.58/x
  3. Step 3: Cross multiply
    152,807.64x = 210,869.10 × 84,827.58
  4. Step 4: Simplify right side
    152,807.64x = 17,887,515,449.78
  5. Step 5: Solve for x
    x = 17,887,515,449.78/152,807.64
  6. Step 6: Final answer
    x = 117,059.04

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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.