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Finding the Fourth Proportional to 119,643.69, 165,097.01 and 70,577.66

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Solution

The fourth proportional to 119,643.69, 165,097.01 and 70,577.66 is: 97,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,643.69 : 165,097.01 = 70,577.66 : x
  2. Step 2: Convert to fraction form
    119,643.69/165,097.01 = 70,577.66/x
  3. Step 3: Cross multiply
    119,643.69x = 165,097.01 × 70,577.66
  4. Step 4: Simplify right side
    119,643.69x = 11,652,159,460.42
  5. Step 5: Solve for x
    x = 11,652,159,460.42/119,643.69
  6. Step 6: Final answer
    x = 97,390.51

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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.