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Finding the Fourth Proportional to 211,509.50, 317,272.89 and 53,742.02

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Solution

The fourth proportional to 211,509.50, 317,272.89 and 53,742.02 is: 80,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509.50 : 317,272.89 = 53,742.02 : x
  2. Step 2: Convert to fraction form
    211,509.50/317,272.89 = 53,742.02/x
  3. Step 3: Cross multiply
    211,509.50x = 317,272.89 × 53,742.02
  4. Step 4: Simplify right side
    211,509.50x = 17,050,885,999.84
  5. Step 5: Solve for x
    x = 17,050,885,999.84/211,509.50
  6. Step 6: Final answer
    x = 80,615.23

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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.