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Finding the Fourth Proportional to 210,013.86, 314,894.10 and 83,673.58

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Solution

The fourth proportional to 210,013.86, 314,894.10 and 83,673.58 is: 125,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,013.86 : 314,894.10 = 83,673.58 : x
  2. Step 2: Convert to fraction form
    210,013.86/314,894.10 = 83,673.58/x
  3. Step 3: Cross multiply
    210,013.86x = 314,894.10 × 83,673.58
  4. Step 4: Simplify right side
    210,013.86x = 26,348,316,667.88
  5. Step 5: Solve for x
    x = 26,348,316,667.88/210,013.86
  6. Step 6: Final answer
    x = 125,459.89

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1.5x scale

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.