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Finding the Fourth Proportional to 97,203, 134,140.14 and 52,491

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Solution

The fourth proportional to 97,203, 134,140.14 and 52,491 is: 72,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,203 : 134,140.14 = 52,491 : x
  2. Step 2: Convert to fraction form
    97,203/134,140.14 = 52,491/x
  3. Step 3: Cross multiply
    97,203x = 134,140.14 × 52,491
  4. Step 4: Simplify right side
    97,203x = 7,041,150,088.74
  5. Step 5: Solve for x
    x = 7,041,150,088.74/97,203
  6. Step 6: Final answer
    x = 72,437.58

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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.