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Finding the Fourth Proportional to 141,946.77, 195,886.71 and 77,416.11

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Solution

The fourth proportional to 141,946.77, 195,886.71 and 77,416.11 is: 106,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,946.77 : 195,886.71 = 77,416.11 : x
  2. Step 2: Convert to fraction form
    141,946.77/195,886.71 = 77,416.11/x
  3. Step 3: Cross multiply
    141,946.77x = 195,886.71 × 77,416.11
  4. Step 4: Simplify right side
    141,946.77x = 15,164,787,088.90
  5. Step 5: Solve for x
    x = 15,164,787,088.90/141,946.77
  6. Step 6: Final answer
    x = 106,834.32

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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.