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Finding the Fourth Proportional to 211,386.08, 317,078.48 and 53,614.16

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Solution

The fourth proportional to 211,386.08, 317,078.48 and 53,614.16 is: 80,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,386.08 : 317,078.48 = 53,614.16 : x
  2. Step 2: Convert to fraction form
    211,386.08/317,078.48 = 53,614.16/x
  3. Step 3: Cross multiply
    211,386.08x = 317,078.48 × 53,614.16
  4. Step 4: Simplify right side
    211,386.08x = 16,999,896,359.28
  5. Step 5: Solve for x
    x = 16,999,896,359.28/211,386.08
  6. Step 6: Final answer
    x = 80,421.08

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