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Finding the Fourth Proportional to 97,207, 134,145.68 and 52,495

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Solution

The fourth proportional to 97,207, 134,145.68 and 52,495 is: 72,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,207 : 134,145.68 = 52,495 : x
  2. Step 2: Convert to fraction form
    97,207/134,145.68 = 52,495/x
  3. Step 3: Cross multiply
    97,207x = 134,145.68 × 52,495
  4. Step 4: Simplify right side
    97,207x = 7,041,977,471.60
  5. Step 5: Solve for x
    x = 7,041,977,471.60/97,207
  6. Step 6: Final answer
    x = 72,443.11

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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.