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Finding the Fourth Proportional to 301,060.29, 415,450.72 and 180,130.13

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Solution

The fourth proportional to 301,060.29, 415,450.72 and 180,130.13 is: 248,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,060.29 : 415,450.72 = 180,130.13 : x
  2. Step 2: Convert to fraction form
    301,060.29/415,450.72 = 180,130.13/x
  3. Step 3: Cross multiply
    301,060.29x = 415,450.72 × 180,130.13
  4. Step 4: Simplify right side
    301,060.29x = 74,835,191,908.04
  5. Step 5: Solve for x
    x = 74,835,191,908.04/301,060.29
  6. Step 6: Final answer
    x = 248,572.11

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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.