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Finding the Fourth Proportional to 141,029.94, 211,346.01 and 77,878.50

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Solution

The fourth proportional to 141,029.94, 211,346.01 and 77,878.50 is: 116,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,029.94 : 211,346.01 = 77,878.50 : x
  2. Step 2: Convert to fraction form
    141,029.94/211,346.01 = 77,878.50/x
  3. Step 3: Cross multiply
    141,029.94x = 211,346.01 × 77,878.50
  4. Step 4: Simplify right side
    141,029.94x = 16,459,310,239.79
  5. Step 5: Solve for x
    x = 16,459,310,239.79/141,029.94
  6. Step 6: Final answer
    x = 116,707.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.