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Finding the Fourth Proportional to 164,790.72, 227,412.95 and 96,810.53

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Solution

The fourth proportional to 164,790.72, 227,412.95 and 96,810.53 is: 133,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790.72 : 227,412.95 = 96,810.53 : x
  2. Step 2: Convert to fraction form
    164,790.72/227,412.95 = 96,810.53/x
  3. Step 3: Cross multiply
    164,790.72x = 227,412.95 × 96,810.53
  4. Step 4: Simplify right side
    164,790.72x = 22,015,966,597.25
  5. Step 5: Solve for x
    x = 22,015,966,597.25/164,790.72
  6. Step 6: Final answer
    x = 133,599.55

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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.