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Finding the Fourth Proportional to 243,698.40, 365,243.16 and 117,315.16

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Solution

The fourth proportional to 243,698.40, 365,243.16 and 117,315.16 is: 175,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,698.40 : 365,243.16 = 117,315.16 : x
  2. Step 2: Convert to fraction form
    243,698.40/365,243.16 = 117,315.16/x
  3. Step 3: Cross multiply
    243,698.40x = 365,243.16 × 117,315.16
  4. Step 4: Simplify right side
    243,698.40x = 42,848,559,754.31
  5. Step 5: Solve for x
    x = 42,848,559,754.31/243,698.40
  6. Step 6: Final answer
    x = 175,826.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.