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Finding the Fourth Proportional to 242,596.51, 363,492.43 and 147,539.16

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Solution

The fourth proportional to 242,596.51, 363,492.43 and 147,539.16 is: 221,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,596.51 : 363,492.43 = 147,539.16 : x
  2. Step 2: Convert to fraction form
    242,596.51/363,492.43 = 147,539.16/x
  3. Step 3: Cross multiply
    242,596.51x = 363,492.43 × 147,539.16
  4. Step 4: Simplify right side
    242,596.51x = 53,629,367,419.71
  5. Step 5: Solve for x
    x = 53,629,367,419.71/242,596.51
  6. Step 6: Final answer
    x = 221,064.05

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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.