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Finding the Fourth Proportional to 165,210, 247,814.16 and 46,881.54

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Solution

The fourth proportional to 165,210, 247,814.16 and 46,881.54 is: 70,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,210 : 247,814.16 = 46,881.54 : x
  2. Step 2: Convert to fraction form
    165,210/247,814.16 = 46,881.54/x
  3. Step 3: Cross multiply
    165,210x = 247,814.16 × 46,881.54
  4. Step 4: Simplify right side
    165,210x = 11,617,909,454.61
  5. Step 5: Solve for x
    x = 11,617,909,454.61/165,210
  6. Step 6: Final answer
    x = 70,322.07

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