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Finding the Fourth Proportional to 211,871.70, 317,548.35 and 93,417.30

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Solution

The fourth proportional to 211,871.70, 317,548.35 and 93,417.30 is: 140,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,871.70 : 317,548.35 = 93,417.30 : x
  2. Step 2: Convert to fraction form
    211,871.70/317,548.35 = 93,417.30/x
  3. Step 3: Cross multiply
    211,871.70x = 317,548.35 × 93,417.30
  4. Step 4: Simplify right side
    211,871.70x = 29,664,509,476.46
  5. Step 5: Solve for x
    x = 29,664,509,476.46/211,871.70
  6. Step 6: Final answer
    x = 140,011.66

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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.