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Finding the Fourth Proportional to 211,776, 317,671.68 and 64,032

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Solution

The fourth proportional to 211,776, 317,671.68 and 64,032 is: 96,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776 : 317,671.68 = 64,032 : x
  2. Step 2: Convert to fraction form
    211,776/317,671.68 = 64,032/x
  3. Step 3: Cross multiply
    211,776x = 317,671.68 × 64,032
  4. Step 4: Simplify right side
    211,776x = 20,341,153,013.76
  5. Step 5: Solve for x
    x = 20,341,153,013.76/211,776
  6. Step 6: Final answer
    x = 96,050.32

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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.