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Finding the Fourth Proportional to 136,851.40, 205,430.70 and 105,824.20

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Solution

The fourth proportional to 136,851.40, 205,430.70 and 105,824.20 is: 158,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,851.40 : 205,430.70 = 105,824.20 : x
  2. Step 2: Convert to fraction form
    136,851.40/205,430.70 = 105,824.20/x
  3. Step 3: Cross multiply
    136,851.40x = 205,430.70 × 105,824.20
  4. Step 4: Simplify right side
    136,851.40x = 21,739,539,482.94
  5. Step 5: Solve for x
    x = 21,739,539,482.94/136,851.40
  6. Step 6: Final answer
    x = 158,855.08

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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.