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Finding the Fourth Proportional to 210,220.77, 290,420.61 and 137,795.58

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Solution

The fourth proportional to 210,220.77, 290,420.61 and 137,795.58 is: 190,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,220.77 : 290,420.61 = 137,795.58 : x
  2. Step 2: Convert to fraction form
    210,220.77/290,420.61 = 137,795.58/x
  3. Step 3: Cross multiply
    210,220.77x = 290,420.61 × 137,795.58
  4. Step 4: Simplify right side
    210,220.77x = 40,018,676,398.90
  5. Step 5: Solve for x
    x = 40,018,676,398.90/210,220.77
  6. Step 6: Final answer
    x = 190,365.00

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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.