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Finding the Fourth Proportional to 211,323.90, 316,402.65 and 164,667.90

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Solution

The fourth proportional to 211,323.90, 316,402.65 and 164,667.90 is: 246,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,323.90 : 316,402.65 = 164,667.90 : x
  2. Step 2: Convert to fraction form
    211,323.90/316,402.65 = 164,667.90/x
  3. Step 3: Cross multiply
    211,323.90x = 316,402.65 × 164,667.90
  4. Step 4: Simplify right side
    211,323.90x = 52,101,359,929.94
  5. Step 5: Solve for x
    x = 52,101,359,929.94/211,323.90
  6. Step 6: Final answer
    x = 246,547.41

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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.