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Finding the Fourth Proportional to 211,051.84, 316,575.12 and 84,748

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Solution

The fourth proportional to 211,051.84, 316,575.12 and 84,748 is: 127,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,051.84 : 316,575.12 = 84,748 : x
  2. Step 2: Convert to fraction form
    211,051.84/316,575.12 = 84,748/x
  3. Step 3: Cross multiply
    211,051.84x = 316,575.12 × 84,748
  4. Step 4: Simplify right side
    211,051.84x = 26,829,108,269.76
  5. Step 5: Solve for x
    x = 26,829,108,269.76/211,051.84
  6. Step 6: Final answer
    x = 127,120.94

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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.