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Finding the Fourth Proportional to 102,547.40, 153,561.90 and 81,811.40

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Solution

The fourth proportional to 102,547.40, 153,561.90 and 81,811.40 is: 122,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,547.40 : 153,561.90 = 81,811.40 : x
  2. Step 2: Convert to fraction form
    102,547.40/153,561.90 = 81,811.40/x
  3. Step 3: Cross multiply
    102,547.40x = 153,561.90 × 81,811.40
  4. Step 4: Simplify right side
    102,547.40x = 12,563,114,025.66
  5. Step 5: Solve for x
    x = 12,563,114,025.66/102,547.40
  6. Step 6: Final answer
    x = 122,510.31

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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.