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Finding the Fourth Proportional to 210,430.65, 290,392.38 and 114,937.32

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Solution

The fourth proportional to 210,430.65, 290,392.38 and 114,937.32 is: 158,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,430.65 : 290,392.38 = 114,937.32 : x
  2. Step 2: Convert to fraction form
    210,430.65/290,392.38 = 114,937.32/x
  3. Step 3: Cross multiply
    210,430.65x = 290,392.38 × 114,937.32
  4. Step 4: Simplify right side
    210,430.65x = 33,376,921,905.62
  5. Step 5: Solve for x
    x = 33,376,921,905.62/210,430.65
  6. Step 6: Final answer
    x = 158,612.45

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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.