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Finding the Fourth Proportional to 211,870.64, 317,535.66 and 99,302.52

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Solution

The fourth proportional to 211,870.64, 317,535.66 and 99,302.52 is: 148,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,870.64 : 317,535.66 = 99,302.52 : x
  2. Step 2: Convert to fraction form
    211,870.64/317,535.66 = 99,302.52/x
  3. Step 3: Cross multiply
    211,870.64x = 317,535.66 × 99,302.52
  4. Step 4: Simplify right side
    211,870.64x = 31,532,091,227.86
  5. Step 5: Solve for x
    x = 31,532,091,227.86/211,870.64
  6. Step 6: Final answer
    x = 148,827.09

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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.