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Finding the Fourth Proportional to 210,390.54, 290,340 and 114,897.24

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Solution

The fourth proportional to 210,390.54, 290,340 and 114,897.24 is: 158,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,390.54 : 290,340 = 114,897.24 : x
  2. Step 2: Convert to fraction form
    210,390.54/290,340 = 114,897.24/x
  3. Step 3: Cross multiply
    210,390.54x = 290,340 × 114,897.24
  4. Step 4: Simplify right side
    210,390.54x = 33,359,264,661.60
  5. Step 5: Solve for x
    x = 33,359,264,661.60/210,390.54
  6. Step 6: Final answer
    x = 158,558.77

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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.