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Finding the Fourth Proportional to 97,253, 134,209.14 and 52,541

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Solution

The fourth proportional to 97,253, 134,209.14 and 52,541 is: 72,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253 : 134,209.14 = 52,541 : x
  2. Step 2: Convert to fraction form
    97,253/134,209.14 = 52,541/x
  3. Step 3: Cross multiply
    97,253x = 134,209.14 × 52,541
  4. Step 4: Simplify right side
    97,253x = 7,051,482,424.74
  5. Step 5: Solve for x
    x = 7,051,482,424.74/97,253
  6. Step 6: Final answer
    x = 72,506.58

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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.