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Finding the Fourth Proportional to 253,309.17, 349,509.42 and 151,314.67

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Solution

The fourth proportional to 253,309.17, 349,509.42 and 151,314.67 is: 208,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,309.17 : 349,509.42 = 151,314.67 : x
  2. Step 2: Convert to fraction form
    253,309.17/349,509.42 = 151,314.67/x
  3. Step 3: Cross multiply
    253,309.17x = 349,509.42 × 151,314.67
  4. Step 4: Simplify right side
    253,309.17x = 52,885,902,549.19
  5. Step 5: Solve for x
    x = 52,885,902,549.19/253,309.17
  6. Step 6: Final answer
    x = 208,780.06

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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.