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Finding the Fourth Proportional to 151,524.64, 227,312.47 and 46,319

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Solution

The fourth proportional to 151,524.64, 227,312.47 and 46,319 is: 69,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,524.64 : 227,312.47 = 46,319 : x
  2. Step 2: Convert to fraction form
    151,524.64/227,312.47 = 46,319/x
  3. Step 3: Cross multiply
    151,524.64x = 227,312.47 × 46,319
  4. Step 4: Simplify right side
    151,524.64x = 10,528,886,297.93
  5. Step 5: Solve for x
    x = 10,528,886,297.93/151,524.64
  6. Step 6: Final answer
    x = 69,486.30

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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.