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Finding the Fourth Proportional to 210,013.36, 314,893.35 and 83,673.08

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Solution

The fourth proportional to 210,013.36, 314,893.35 and 83,673.08 is: 125,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,013.36 : 314,893.35 = 83,673.08 : x
  2. Step 2: Convert to fraction form
    210,013.36/314,893.35 = 83,673.08/x
  3. Step 3: Cross multiply
    210,013.36x = 314,893.35 × 83,673.08
  4. Step 4: Simplify right side
    210,013.36x = 26,348,096,466.02
  5. Step 5: Solve for x
    x = 26,348,096,466.02/210,013.36
  6. Step 6: Final answer
    x = 125,459.14

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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.