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Finding the Fourth Proportional to 132,505.23, 182,916.93 and 87,207

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Solution

The fourth proportional to 132,505.23, 182,916.93 and 87,207 is: 120,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,505.23 : 182,916.93 = 87,207 : x
  2. Step 2: Convert to fraction form
    132,505.23/182,916.93 = 87,207/x
  3. Step 3: Cross multiply
    132,505.23x = 182,916.93 × 87,207
  4. Step 4: Simplify right side
    132,505.23x = 15,951,636,714.51
  5. Step 5: Solve for x
    x = 15,951,636,714.51/132,505.23
  6. Step 6: Final answer
    x = 120,384.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.