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Finding the Fourth Proportional to 211,547, 317,022.14 and 116,819.84

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Solution

The fourth proportional to 211,547, 317,022.14 and 116,819.84 is: 175,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,547 : 317,022.14 = 116,819.84 : x
  2. Step 2: Convert to fraction form
    211,547/317,022.14 = 116,819.84/x
  3. Step 3: Cross multiply
    211,547x = 317,022.14 × 116,819.84
  4. Step 4: Simplify right side
    211,547x = 37,034,475,671.26
  5. Step 5: Solve for x
    x = 37,034,475,671.26/211,547
  6. Step 6: Final answer
    x = 175,065.00

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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.