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Finding the Fourth Proportional to 105,212.68, 145,233.78 and 64,933

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Solution

The fourth proportional to 105,212.68, 145,233.78 and 64,933 is: 89,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212.68 : 145,233.78 = 64,933 : x
  2. Step 2: Convert to fraction form
    105,212.68/145,233.78 = 64,933/x
  3. Step 3: Cross multiply
    105,212.68x = 145,233.78 × 64,933
  4. Step 4: Simplify right side
    105,212.68x = 9,430,465,036.74
  5. Step 5: Solve for x
    x = 9,430,465,036.74/105,212.68
  6. Step 6: Final answer
    x = 89,632.40

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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.