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Finding the Fourth Proportional to 211,498.35, 291,878.43 and 116,013.93

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Solution

The fourth proportional to 211,498.35, 291,878.43 and 116,013.93 is: 160,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,498.35 : 291,878.43 = 116,013.93 : x
  2. Step 2: Convert to fraction form
    211,498.35/291,878.43 = 116,013.93/x
  3. Step 3: Cross multiply
    211,498.35x = 291,878.43 × 116,013.93
  4. Step 4: Simplify right side
    211,498.35x = 33,861,963,746.53
  5. Step 5: Solve for x
    x = 33,861,963,746.53/211,498.35
  6. Step 6: Final answer
    x = 160,105.10

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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.