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Finding the Fourth Proportional to 153,524.84, 230,322.32 and 46,923.98

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Solution

The fourth proportional to 153,524.84, 230,322.32 and 46,923.98 is: 70,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,524.84 : 230,322.32 = 46,923.98 : x
  2. Step 2: Convert to fraction form
    153,524.84/230,322.32 = 46,923.98/x
  3. Step 3: Cross multiply
    153,524.84x = 230,322.32 × 46,923.98
  4. Step 4: Simplify right side
    153,524.84x = 10,807,638,551.00
  5. Step 5: Solve for x
    x = 10,807,638,551.00/153,524.84
  6. Step 6: Final answer
    x = 70,396.68

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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.