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Finding the Fourth Proportional to 97,970.42, 135,199.14 and 53,258.42

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Solution

The fourth proportional to 97,970.42, 135,199.14 and 53,258.42 is: 73,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,970.42 : 135,199.14 = 53,258.42 : x
  2. Step 2: Convert to fraction form
    97,970.42/135,199.14 = 53,258.42/x
  3. Step 3: Cross multiply
    97,970.42x = 135,199.14 × 53,258.42
  4. Step 4: Simplify right side
    97,970.42x = 7,200,492,581.76
  5. Step 5: Solve for x
    x = 7,200,492,581.76/97,970.42
  6. Step 6: Final answer
    x = 73,496.60

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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.