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Finding the Fourth Proportional to 97,955.16, 135,178.08 and 53,243.16

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Solution

The fourth proportional to 97,955.16, 135,178.08 and 53,243.16 is: 73,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,955.16 : 135,178.08 = 53,243.16 : x
  2. Step 2: Convert to fraction form
    97,955.16/135,178.08 = 53,243.16/x
  3. Step 3: Cross multiply
    97,955.16x = 135,178.08 × 53,243.16
  4. Step 4: Simplify right side
    97,955.16x = 7,197,308,141.93
  5. Step 5: Solve for x
    x = 7,197,308,141.93/97,955.16
  6. Step 6: Final answer
    x = 73,475.54

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1.5x scale

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.