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Finding the Fourth Proportional to 211,492.50, 291,878.36 and 116,017.80

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Solution

The fourth proportional to 211,492.50, 291,878.36 and 116,017.80 is: 160,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,492.50 : 291,878.36 = 116,017.80 : x
  2. Step 2: Convert to fraction form
    211,492.50/291,878.36 = 116,017.80/x
  3. Step 3: Cross multiply
    211,492.50x = 291,878.36 × 116,017.80
  4. Step 4: Simplify right side
    211,492.50x = 33,863,085,194.81
  5. Step 5: Solve for x
    x = 33,863,085,194.81/211,492.50
  6. Step 6: Final answer
    x = 160,114.83

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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.