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Finding the Fourth Proportional to 162,492.32, 243,298.80 and 106,192.16

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Solution

The fourth proportional to 162,492.32, 243,298.80 and 106,192.16 is: 159,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,492.32 : 243,298.80 = 106,192.16 : x
  2. Step 2: Convert to fraction form
    162,492.32/243,298.80 = 106,192.16/x
  3. Step 3: Cross multiply
    162,492.32x = 243,298.80 × 106,192.16
  4. Step 4: Simplify right side
    162,492.32x = 25,836,425,097.41
  5. Step 5: Solve for x
    x = 25,836,425,097.41/162,492.32
  6. Step 6: Final answer
    x = 159,000.90

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1.5x scale

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.