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Finding the Fourth Proportional to 190,998.90, 287,608.14 and 141,430.14

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Solution

The fourth proportional to 190,998.90, 287,608.14 and 141,430.14 is: 212,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,998.90 : 287,608.14 = 141,430.14 : x
  2. Step 2: Convert to fraction form
    190,998.90/287,608.14 = 141,430.14/x
  3. Step 3: Cross multiply
    190,998.90x = 287,608.14 × 141,430.14
  4. Step 4: Simplify right side
    190,998.90x = 40,676,459,505.34
  5. Step 5: Solve for x
    x = 40,676,459,505.34/190,998.90
  6. Step 6: Final answer
    x = 212,966.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.