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Finding the Fourth Proportional to 102,511.40, 153,767.10 and 81,775.40

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Solution

The fourth proportional to 102,511.40, 153,767.10 and 81,775.40 is: 122,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511.40 : 153,767.10 = 81,775.40 : x
  2. Step 2: Convert to fraction form
    102,511.40/153,767.10 = 81,775.40/x
  3. Step 3: Cross multiply
    102,511.40x = 153,767.10 × 81,775.40
  4. Step 4: Simplify right side
    102,511.40x = 12,574,366,109.34
  5. Step 5: Solve for x
    x = 12,574,366,109.34/102,511.40
  6. Step 6: Final answer
    x = 122,663.10

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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.