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Finding the Fourth Proportional to 210,444, 290,411 and 114,950.72

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Solution

The fourth proportional to 210,444, 290,411 and 114,950.72 is: 158,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,444 : 290,411 = 114,950.72 : x
  2. Step 2: Convert to fraction form
    210,444/290,411 = 114,950.72/x
  3. Step 3: Cross multiply
    210,444x = 290,411 × 114,950.72
  4. Step 4: Simplify right side
    210,444x = 33,382,953,545.92
  5. Step 5: Solve for x
    x = 33,382,953,545.92/210,444
  6. Step 6: Final answer
    x = 158,631.05

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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.