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Finding the Fourth Proportional to 153,113.88, 211,298.46 and 99,419.16

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Solution

The fourth proportional to 153,113.88, 211,298.46 and 99,419.16 is: 137,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,113.88 : 211,298.46 = 99,419.16 : x
  2. Step 2: Convert to fraction form
    153,113.88/211,298.46 = 99,419.16/x
  3. Step 3: Cross multiply
    153,113.88x = 211,298.46 × 99,419.16
  4. Step 4: Simplify right side
    153,113.88x = 21,007,115,402.49
  5. Step 5: Solve for x
    x = 21,007,115,402.49/153,113.88
  6. Step 6: Final answer
    x = 137,199.29

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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.