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Finding the Fourth Proportional to 153,134.40, 211,313.16 and 89,465.16

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Solution

The fourth proportional to 153,134.40, 211,313.16 and 89,465.16 is: 123,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,134.40 : 211,313.16 = 89,465.16 : x
  2. Step 2: Convert to fraction form
    153,134.40/211,313.16 = 89,465.16/x
  3. Step 3: Cross multiply
    153,134.40x = 211,313.16 × 89,465.16
  4. Step 4: Simplify right side
    153,134.40x = 18,905,165,669.51
  5. Step 5: Solve for x
    x = 18,905,165,669.51/153,134.40
  6. Step 6: Final answer
    x = 123,454.73

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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.