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Finding the Fourth Proportional to 210,030.30, 289,842.30 and 119,386.86

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Solution

The fourth proportional to 210,030.30, 289,842.30 and 119,386.86 is: 164,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,030.30 : 289,842.30 = 119,386.86 : x
  2. Step 2: Convert to fraction form
    210,030.30/289,842.30 = 119,386.86/x
  3. Step 3: Cross multiply
    210,030.30x = 289,842.30 × 119,386.86
  4. Step 4: Simplify right side
    210,030.30x = 34,603,362,092.18
  5. Step 5: Solve for x
    x = 34,603,362,092.18/210,030.30
  6. Step 6: Final answer
    x = 164,754.14

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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.