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Finding the Fourth Proportional to 211,866.14, 317,528.93 and 99,298.01

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Solution

The fourth proportional to 211,866.14, 317,528.93 and 99,298.01 is: 148,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,866.14 : 317,528.93 = 99,298.01 : x
  2. Step 2: Convert to fraction form
    211,866.14/317,528.93 = 99,298.01/x
  3. Step 3: Cross multiply
    211,866.14x = 317,528.93 × 99,298.01
  4. Step 4: Simplify right side
    211,866.14x = 31,529,988,782.29
  5. Step 5: Solve for x
    x = 31,529,988,782.29/211,866.14
  6. Step 6: Final answer
    x = 148,820.33

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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.