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Finding the Fourth Proportional to 213,952.64, 295,234.16 and 118,455.84

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Solution

The fourth proportional to 213,952.64, 295,234.16 and 118,455.84 is: 163,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,952.64 : 295,234.16 = 118,455.84 : x
  2. Step 2: Convert to fraction form
    213,952.64/295,234.16 = 118,455.84/x
  3. Step 3: Cross multiply
    213,952.64x = 295,234.16 × 118,455.84
  4. Step 4: Simplify right side
    213,952.64x = 34,972,210,419.49
  5. Step 5: Solve for x
    x = 34,972,210,419.49/213,952.64
  6. Step 6: Final answer
    x = 163,457.72

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1.5x scale

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.