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Finding the Fourth Proportional to 211,098.60, 316,664.51 and 61,341.48

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Solution

The fourth proportional to 211,098.60, 316,664.51 and 61,341.48 is: 92,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,098.60 : 316,664.51 = 61,341.48 : x
  2. Step 2: Convert to fraction form
    211,098.60/316,664.51 = 61,341.48/x
  3. Step 3: Cross multiply
    211,098.60x = 316,664.51 × 61,341.48
  4. Step 4: Simplify right side
    211,098.60x = 19,424,669,400.17
  5. Step 5: Solve for x
    x = 19,424,669,400.17/211,098.60
  6. Step 6: Final answer
    x = 92,017.05

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Why These Related Problems?

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