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Finding the Fourth Proportional to 141,031.94, 211,349 and 77,880.50

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Solution

The fourth proportional to 141,031.94, 211,349 and 77,880.50 is: 116,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,031.94 : 211,349 = 77,880.50 : x
  2. Step 2: Convert to fraction form
    141,031.94/211,349 = 77,880.50/x
  3. Step 3: Cross multiply
    141,031.94x = 211,349 × 77,880.50
  4. Step 4: Simplify right side
    141,031.94x = 16,459,965,794.50
  5. Step 5: Solve for x
    x = 16,459,965,794.50/141,031.94
  6. Step 6: Final answer
    x = 116,710.91

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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.