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Finding the Fourth Proportional to 105,168, 144,981.12 and 64,854.71

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Solution

The fourth proportional to 105,168, 144,981.12 and 64,854.71 is: 89,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,168 : 144,981.12 = 64,854.71 : x
  2. Step 2: Convert to fraction form
    105,168/144,981.12 = 64,854.71/x
  3. Step 3: Cross multiply
    105,168x = 144,981.12 × 64,854.71
  4. Step 4: Simplify right side
    105,168x = 9,402,707,768.17
  5. Step 5: Solve for x
    x = 9,402,707,768.17/105,168
  6. Step 6: Final answer
    x = 89,406.55

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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.