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Finding the Fourth Proportional to 230,031.41, 317,709.04 and 153,417.38

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Solution

The fourth proportional to 230,031.41, 317,709.04 and 153,417.38 is: 211,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,031.41 : 317,709.04 = 153,417.38 : x
  2. Step 2: Convert to fraction form
    230,031.41/317,709.04 = 153,417.38/x
  3. Step 3: Cross multiply
    230,031.41x = 317,709.04 × 153,417.38
  4. Step 4: Simplify right side
    230,031.41x = 48,742,088,519.12
  5. Step 5: Solve for x
    x = 48,742,088,519.12/230,031.41
  6. Step 6: Final answer
    x = 211,893.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.