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Finding the Fourth Proportional to 190,037.16, 285,154.10 and 137,877.16

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Solution

The fourth proportional to 190,037.16, 285,154.10 and 137,877.16 is: 206,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,037.16 : 285,154.10 = 137,877.16 : x
  2. Step 2: Convert to fraction form
    190,037.16/285,154.10 = 137,877.16/x
  3. Step 3: Cross multiply
    190,037.16x = 285,154.10 × 137,877.16
  4. Step 4: Simplify right side
    190,037.16x = 39,316,237,470.36
  5. Step 5: Solve for x
    x = 39,316,237,470.36/190,037.16
  6. Step 6: Final answer
    x = 206,887.10

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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.