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Finding the Fourth Proportional to 118,416.52, 163,338.42 and 70,633

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Solution

The fourth proportional to 118,416.52, 163,338.42 and 70,633 is: 97,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416.52 : 163,338.42 = 70,633 : x
  2. Step 2: Convert to fraction form
    118,416.52/163,338.42 = 70,633/x
  3. Step 3: Cross multiply
    118,416.52x = 163,338.42 × 70,633
  4. Step 4: Simplify right side
    118,416.52x = 11,537,082,619.86
  5. Step 5: Solve for x
    x = 11,537,082,619.86/118,416.52
  6. Step 6: Final answer
    x = 97,427.98

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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.