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Finding the Fourth Proportional to 242,492.16, 334,656 and 147,002.88

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Solution

The fourth proportional to 242,492.16, 334,656 and 147,002.88 is: 202,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,492.16 : 334,656 = 147,002.88 : x
  2. Step 2: Convert to fraction form
    242,492.16/334,656 = 147,002.88/x
  3. Step 3: Cross multiply
    242,492.16x = 334,656 × 147,002.88
  4. Step 4: Simplify right side
    242,492.16x = 49,195,395,809.28
  5. Step 5: Solve for x
    x = 49,195,395,809.28/242,492.16
  6. Step 6: Final answer
    x = 202,874.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.