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Finding the Fourth Proportional to 313,088.35, 432,061.70 and 169,848.42

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Solution

The fourth proportional to 313,088.35, 432,061.70 and 169,848.42 is: 234,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,088.35 : 432,061.70 = 169,848.42 : x
  2. Step 2: Convert to fraction form
    313,088.35/432,061.70 = 169,848.42/x
  3. Step 3: Cross multiply
    313,088.35x = 432,061.70 × 169,848.42
  4. Step 4: Simplify right side
    313,088.35x = 73,384,997,087.51
  5. Step 5: Solve for x
    x = 73,384,997,087.51/313,088.35
  6. Step 6: Final answer
    x = 234,390.70

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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.