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Finding the Fourth Proportional to 168,386.34, 232,405.32 and 103,877.10

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Solution

The fourth proportional to 168,386.34, 232,405.32 and 103,877.10 is: 143,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,386.34 : 232,405.32 = 103,877.10 : x
  2. Step 2: Convert to fraction form
    168,386.34/232,405.32 = 103,877.10/x
  3. Step 3: Cross multiply
    168,386.34x = 232,405.32 × 103,877.10
  4. Step 4: Simplify right side
    168,386.34x = 24,141,590,666.17
  5. Step 5: Solve for x
    x = 24,141,590,666.17/168,386.34
  6. Step 6: Final answer
    x = 143,370.24

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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.