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Finding the Fourth Proportional to 210,980.69, 291,146.10 and 120,365.99

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Solution

The fourth proportional to 210,980.69, 291,146.10 and 120,365.99 is: 166,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,980.69 : 291,146.10 = 120,365.99 : x
  2. Step 2: Convert to fraction form
    210,980.69/291,146.10 = 120,365.99/x
  3. Step 3: Cross multiply
    210,980.69x = 291,146.10 × 120,365.99
  4. Step 4: Simplify right side
    210,980.69x = 35,044,088,561.14
  5. Step 5: Solve for x
    x = 35,044,088,561.14/210,980.69
  6. Step 6: Final answer
    x = 166,100.93

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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.