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Finding the Fourth Proportional to 225,006, 310,502.25 and 133,130.04

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Solution

The fourth proportional to 225,006, 310,502.25 and 133,130.04 is: 183,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,006 : 310,502.25 = 133,130.04 : x
  2. Step 2: Convert to fraction form
    225,006/310,502.25 = 133,130.04/x
  3. Step 3: Cross multiply
    225,006x = 310,502.25 × 133,130.04
  4. Step 4: Simplify right side
    225,006x = 41,337,176,962.59
  5. Step 5: Solve for x
    x = 41,337,176,962.59/225,006
  6. Step 6: Final answer
    x = 183,715.89

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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.