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Finding the Fourth Proportional to 102,458.66, 141,387.75 and 56,526.32

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Solution

The fourth proportional to 102,458.66, 141,387.75 and 56,526.32 is: 78,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458.66 : 141,387.75 = 56,526.32 : x
  2. Step 2: Convert to fraction form
    102,458.66/141,387.75 = 56,526.32/x
  3. Step 3: Cross multiply
    102,458.66x = 141,387.75 × 56,526.32
  4. Step 4: Simplify right side
    102,458.66x = 7,992,129,554.05
  5. Step 5: Solve for x
    x = 7,992,129,554.05/102,458.66
  6. Step 6: Final answer
    x = 78,003.46

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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.