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Finding the Fourth Proportional to 210,645.12, 290,689.92 and 115,152

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Solution

The fourth proportional to 210,645.12, 290,689.92 and 115,152 is: 158,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,645.12 : 290,689.92 = 115,152 : x
  2. Step 2: Convert to fraction form
    210,645.12/290,689.92 = 115,152/x
  3. Step 3: Cross multiply
    210,645.12x = 290,689.92 × 115,152
  4. Step 4: Simplify right side
    210,645.12x = 33,473,525,667.84
  5. Step 5: Solve for x
    x = 33,473,525,667.84/210,645.12
  6. Step 6: Final answer
    x = 158,909.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.