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Finding the Fourth Proportional to 162,492.82, 224,296.47 and 111,673.76

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Solution

The fourth proportional to 162,492.82, 224,296.47 and 111,673.76 is: 154,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,492.82 : 224,296.47 = 111,673.76 : x
  2. Step 2: Convert to fraction form
    162,492.82/224,296.47 = 111,673.76/x
  3. Step 3: Cross multiply
    162,492.82x = 224,296.47 × 111,673.76
  4. Step 4: Simplify right side
    162,492.82x = 25,048,029,038.14
  5. Step 5: Solve for x
    x = 25,048,029,038.14/162,492.82
  6. Step 6: Final answer
    x = 154,148.53

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1.5x scale

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.