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Finding the Fourth Proportional to 211,638.34, 316,699.62 and 183,273.63

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Solution

The fourth proportional to 211,638.34, 316,699.62 and 183,273.63 is: 274,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,638.34 : 316,699.62 = 183,273.63 : x
  2. Step 2: Convert to fraction form
    211,638.34/316,699.62 = 183,273.63/x
  3. Step 3: Cross multiply
    211,638.34x = 316,699.62 × 183,273.63
  4. Step 4: Simplify right side
    211,638.34x = 58,042,688,977.02
  5. Step 5: Solve for x
    x = 58,042,688,977.02/211,638.34
  6. Step 6: Final answer
    x = 274,254.13

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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.