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Finding the Fourth Proportional to 172,206.36, 258,309.18 and 47,547

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Solution

The fourth proportional to 172,206.36, 258,309.18 and 47,547 is: 71,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,206.36 : 258,309.18 = 47,547 : x
  2. Step 2: Convert to fraction form
    172,206.36/258,309.18 = 47,547/x
  3. Step 3: Cross multiply
    172,206.36x = 258,309.18 × 47,547
  4. Step 4: Simplify right side
    172,206.36x = 12,281,826,581.46
  5. Step 5: Solve for x
    x = 12,281,826,581.46/172,206.36
  6. Step 6: Final answer
    x = 71,320.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.