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Finding the Fourth Proportional to 354,920.10, 532,380.15 and 105,602.10

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Solution

The fourth proportional to 354,920.10, 532,380.15 and 105,602.10 is: 158,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,920.10 : 532,380.15 = 105,602.10 : x
  2. Step 2: Convert to fraction form
    354,920.10/532,380.15 = 105,602.10/x
  3. Step 3: Cross multiply
    354,920.10x = 532,380.15 × 105,602.10
  4. Step 4: Simplify right side
    354,920.10x = 56,220,461,838.32
  5. Step 5: Solve for x
    x = 56,220,461,838.32/354,920.10
  6. Step 6: Final answer
    x = 158,403.15

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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.