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Finding the Fourth Proportional to 257,969.84, 356,004.60 and 144,803.12

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Solution

The fourth proportional to 257,969.84, 356,004.60 and 144,803.12 is: 199,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,969.84 : 356,004.60 = 144,803.12 : x
  2. Step 2: Convert to fraction form
    257,969.84/356,004.60 = 144,803.12/x
  3. Step 3: Cross multiply
    257,969.84x = 356,004.60 × 144,803.12
  4. Step 4: Simplify right side
    257,969.84x = 51,550,576,814.35
  5. Step 5: Solve for x
    x = 51,550,576,814.35/257,969.84
  6. Step 6: Final answer
    x = 199,831.80

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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.