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Finding the Fourth Proportional to 98,564.15, 136,018.59 and 53,242.14

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Solution

The fourth proportional to 98,564.15, 136,018.59 and 53,242.14 is: 73,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.15 : 136,018.59 = 53,242.14 : x
  2. Step 2: Convert to fraction form
    98,564.15/136,018.59 = 53,242.14/x
  3. Step 3: Cross multiply
    98,564.15x = 136,018.59 × 53,242.14
  4. Step 4: Simplify right side
    98,564.15x = 7,241,920,811.38
  5. Step 5: Solve for x
    x = 7,241,920,811.38/98,564.15
  6. Step 6: Final answer
    x = 73,474.19

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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.