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Finding the Fourth Proportional to 152,037.42, 209,810.25 and 84,056.10

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Solution

The fourth proportional to 152,037.42, 209,810.25 and 84,056.10 is: 115,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,037.42 : 209,810.25 = 84,056.10 : x
  2. Step 2: Convert to fraction form
    152,037.42/209,810.25 = 84,056.10/x
  3. Step 3: Cross multiply
    152,037.42x = 209,810.25 × 84,056.10
  4. Step 4: Simplify right side
    152,037.42x = 17,635,831,355.03
  5. Step 5: Solve for x
    x = 17,635,831,355.03/152,037.42
  6. Step 6: Final answer
    x = 115,996.65

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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.