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Finding the Fourth Proportional to 151,014.98, 208,401.21 and 83,036.23

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Solution

The fourth proportional to 151,014.98, 208,401.21 and 83,036.23 is: 114,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,014.98 : 208,401.21 = 83,036.23 : x
  2. Step 2: Convert to fraction form
    151,014.98/208,401.21 = 83,036.23/x
  3. Step 3: Cross multiply
    151,014.98x = 208,401.21 × 83,036.23
  4. Step 4: Simplify right side
    151,014.98x = 17,304,849,973.45
  5. Step 5: Solve for x
    x = 17,304,849,973.45/151,014.98
  6. Step 6: Final answer
    x = 114,590.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.