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Finding the Fourth Proportional to 103,416.84, 142,711.47 and 63,197.91

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Solution

The fourth proportional to 103,416.84, 142,711.47 and 63,197.91 is: 87,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416.84 : 142,711.47 = 63,197.91 : x
  2. Step 2: Convert to fraction form
    103,416.84/142,711.47 = 63,197.91/x
  3. Step 3: Cross multiply
    103,416.84x = 142,711.47 × 63,197.91
  4. Step 4: Simplify right side
    103,416.84x = 9,019,066,637.03
  5. Step 5: Solve for x
    x = 9,019,066,637.03/103,416.84
  6. Step 6: Final answer
    x = 87,210.81

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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.