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Finding the Fourth Proportional to 211,296.48, 316,830.24 and 92,829.12

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Solution

The fourth proportional to 211,296.48, 316,830.24 and 92,829.12 is: 139,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296.48 : 316,830.24 = 92,829.12 : x
  2. Step 2: Convert to fraction form
    211,296.48/316,830.24 = 92,829.12/x
  3. Step 3: Cross multiply
    211,296.48x = 316,830.24 × 92,829.12
  4. Step 4: Simplify right side
    211,296.48x = 29,411,072,368.59
  5. Step 5: Solve for x
    x = 29,411,072,368.59/211,296.48
  6. Step 6: Final answer
    x = 139,193.39

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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.