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Finding the Fourth Proportional to 158,814.76, 219,094.50 and 98,369.32

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Solution

The fourth proportional to 158,814.76, 219,094.50 and 98,369.32 is: 135,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,814.76 : 219,094.50 = 98,369.32 : x
  2. Step 2: Convert to fraction form
    158,814.76/219,094.50 = 98,369.32/x
  3. Step 3: Cross multiply
    158,814.76x = 219,094.50 × 98,369.32
  4. Step 4: Simplify right side
    158,814.76x = 21,552,176,980.74
  5. Step 5: Solve for x
    x = 21,552,176,980.74/158,814.76
  6. Step 6: Final answer
    x = 135,706.39

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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.