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Finding the Fourth Proportional to 164,905, 227,568.96 and 93,283.50

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Solution

The fourth proportional to 164,905, 227,568.96 and 93,283.50 is: 128,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,905 : 227,568.96 = 93,283.50 : x
  2. Step 2: Convert to fraction form
    164,905/227,568.96 = 93,283.50/x
  3. Step 3: Cross multiply
    164,905x = 227,568.96 × 93,283.50
  4. Step 4: Simplify right side
    164,905x = 21,228,429,080.16
  5. Step 5: Solve for x
    x = 21,228,429,080.16/164,905
  6. Step 6: Final answer
    x = 128,731.26

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Why These Related Problems?

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