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Finding the Fourth Proportional to 158,709.16, 219,018.04 and 87,090.38

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Solution

The fourth proportional to 158,709.16, 219,018.04 and 87,090.38 is: 120,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,709.16 : 219,018.04 = 87,090.38 : x
  2. Step 2: Convert to fraction form
    158,709.16/219,018.04 = 87,090.38/x
  3. Step 3: Cross multiply
    158,709.16x = 219,018.04 × 87,090.38
  4. Step 4: Simplify right side
    158,709.16x = 19,074,364,330.46
  5. Step 5: Solve for x
    x = 19,074,364,330.46/158,709.16
  6. Step 6: Final answer
    x = 120,184.39

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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.