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Finding the Fourth Proportional to 423,084.10, 634,646.62 and 138,749.48

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Solution

The fourth proportional to 423,084.10, 634,646.62 and 138,749.48 is: 208,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,084.10 : 634,646.62 = 138,749.48 : x
  2. Step 2: Convert to fraction form
    423,084.10/634,646.62 = 138,749.48/x
  3. Step 3: Cross multiply
    423,084.10x = 634,646.62 × 138,749.48
  4. Step 4: Simplify right side
    423,084.10x = 88,056,888,508.76
  5. Step 5: Solve for x
    x = 88,056,888,508.76/423,084.10
  6. Step 6: Final answer
    x = 208,130.93

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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.