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Finding the Fourth Proportional to 210,043.15, 289,848 and 119,386.51

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Solution

The fourth proportional to 210,043.15, 289,848 and 119,386.51 is: 164,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,043.15 : 289,848 = 119,386.51 : x
  2. Step 2: Convert to fraction form
    210,043.15/289,848 = 119,386.51/x
  3. Step 3: Cross multiply
    210,043.15x = 289,848 × 119,386.51
  4. Step 4: Simplify right side
    210,043.15x = 34,603,941,150.48
  5. Step 5: Solve for x
    x = 34,603,941,150.48/210,043.15
  6. Step 6: Final answer
    x = 164,746.82

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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.