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Finding the Fourth Proportional to 145,465, 200,742.92 and 81,802.24

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Solution

The fourth proportional to 145,465, 200,742.92 and 81,802.24 is: 112,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,465 : 200,742.92 = 81,802.24 : x
  2. Step 2: Convert to fraction form
    145,465/200,742.92 = 81,802.24/x
  3. Step 3: Cross multiply
    145,465x = 200,742.92 × 81,802.24
  4. Step 4: Simplify right side
    145,465x = 16,421,220,520.14
  5. Step 5: Solve for x
    x = 16,421,220,520.14/145,465
  6. Step 6: Final answer
    x = 112,887.78

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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.