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Finding the Fourth Proportional to 137,410.16, 205,955.40 and 112,492.40

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Solution

The fourth proportional to 137,410.16, 205,955.40 and 112,492.40 is: 168,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.16 : 205,955.40 = 112,492.40 : x
  2. Step 2: Convert to fraction form
    137,410.16/205,955.40 = 112,492.40/x
  3. Step 3: Cross multiply
    137,410.16x = 205,955.40 × 112,492.40
  4. Step 4: Simplify right side
    137,410.16x = 23,168,417,238.96
  5. Step 5: Solve for x
    x = 23,168,417,238.96/137,410.16
  6. Step 6: Final answer
    x = 168,607.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.