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Finding the Fourth Proportional to 97,784.55, 137,095.20 and 97,784.55

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Solution

The fourth proportional to 97,784.55, 137,095.20 and 97,784.55 is: 137,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,784.55 : 137,095.20 = 97,784.55 : x
  2. Step 2: Convert to fraction form
    97,784.55/137,095.20 = 97,784.55/x
  3. Step 3: Cross multiply
    97,784.55x = 137,095.20 × 97,784.55
  4. Step 4: Simplify right side
    97,784.55x = 13,405,792,439.16
  5. Step 5: Solve for x
    x = 13,405,792,439.16/97,784.55
  6. Step 6: Final answer
    x = 137,095.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.