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Finding the Fourth Proportional to 95,888.36, 143,881.14 and 64,658

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Solution

The fourth proportional to 95,888.36, 143,881.14 and 64,658 is: 97,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,888.36 : 143,881.14 = 64,658 : x
  2. Step 2: Convert to fraction form
    95,888.36/143,881.14 = 64,658/x
  3. Step 3: Cross multiply
    95,888.36x = 143,881.14 × 64,658
  4. Step 4: Simplify right side
    95,888.36x = 9,303,066,750.12
  5. Step 5: Solve for x
    x = 9,303,066,750.12/95,888.36
  6. Step 6: Final answer
    x = 97,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.