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Finding the Fourth Proportional to 302,397.84, 453,698.73 and 133,895.16

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Solution

The fourth proportional to 302,397.84, 453,698.73 and 133,895.16 is: 200,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,397.84 : 453,698.73 = 133,895.16 : x
  2. Step 2: Convert to fraction form
    302,397.84/453,698.73 = 133,895.16/x
  3. Step 3: Cross multiply
    302,397.84x = 453,698.73 × 133,895.16
  4. Step 4: Simplify right side
    302,397.84x = 60,748,064,045.15
  5. Step 5: Solve for x
    x = 60,748,064,045.15/302,397.84
  6. Step 6: Final answer
    x = 200,887.89

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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.