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Finding the Fourth Proportional to 105,716, 145,888.08 and 61,029.92

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Solution

The fourth proportional to 105,716, 145,888.08 and 61,029.92 is: 84,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,716 : 145,888.08 = 61,029.92 : x
  2. Step 2: Convert to fraction form
    105,716/145,888.08 = 61,029.92/x
  3. Step 3: Cross multiply
    105,716x = 145,888.08 × 61,029.92
  4. Step 4: Simplify right side
    105,716x = 8,903,537,851.35
  5. Step 5: Solve for x
    x = 8,903,537,851.35/105,716
  6. Step 6: Final answer
    x = 84,221.29

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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.