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Finding the Fourth Proportional to 119,409.53, 164,779.13 and 65,693.16

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Solution

The fourth proportional to 119,409.53, 164,779.13 and 65,693.16 is: 90,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.53 : 164,779.13 = 65,693.16 : x
  2. Step 2: Convert to fraction form
    119,409.53/164,779.13 = 65,693.16/x
  3. Step 3: Cross multiply
    119,409.53x = 164,779.13 × 65,693.16
  4. Step 4: Simplify right side
    119,409.53x = 10,824,861,915.98
  5. Step 5: Solve for x
    x = 10,824,861,915.98/119,409.53
  6. Step 6: Final answer
    x = 90,653.25

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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.