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Finding the Fourth Proportional to 233,023, 348,782.64 and 120,548.32

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Solution

The fourth proportional to 233,023, 348,782.64 and 120,548.32 is: 180,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,023 : 348,782.64 = 120,548.32 : x
  2. Step 2: Convert to fraction form
    233,023/348,782.64 = 120,548.32/x
  3. Step 3: Cross multiply
    233,023x = 348,782.64 × 120,548.32
  4. Step 4: Simplify right side
    233,023x = 42,045,161,297.16
  5. Step 5: Solve for x
    x = 42,045,161,297.16/233,023
  6. Step 6: Final answer
    x = 180,433.53

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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.