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Finding the Fourth Proportional to 140,210.90, 210,316.31 and 41,714.90

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Solution

The fourth proportional to 140,210.90, 210,316.31 and 41,714.90 is: 62,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,210.90 : 210,316.31 = 41,714.90 : x
  2. Step 2: Convert to fraction form
    140,210.90/210,316.31 = 41,714.90/x
  3. Step 3: Cross multiply
    140,210.90x = 210,316.31 × 41,714.90
  4. Step 4: Simplify right side
    140,210.90x = 8,773,323,840.02
  5. Step 5: Solve for x
    x = 8,773,323,840.02/140,210.90
  6. Step 6: Final answer
    x = 62,572.34

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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.