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Finding the Fourth Proportional to 140,211.81, 193,533.71 and 97,784.01

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Solution

The fourth proportional to 140,211.81, 193,533.71 and 97,784.01 is: 134,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,211.81 : 193,533.71 = 97,784.01 : x
  2. Step 2: Convert to fraction form
    140,211.81/193,533.71 = 97,784.01/x
  3. Step 3: Cross multiply
    140,211.81x = 193,533.71 × 97,784.01
  4. Step 4: Simplify right side
    140,211.81x = 18,924,501,745.06
  5. Step 5: Solve for x
    x = 18,924,501,745.06/140,211.81
  6. Step 6: Final answer
    x = 134,970.81

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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.