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Finding the Fourth Proportional to 359,770, 539,681.20 and 138,154

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Solution

The fourth proportional to 359,770, 539,681.20 and 138,154 is: 207,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,770 : 539,681.20 = 138,154 : x
  2. Step 2: Convert to fraction form
    359,770/539,681.20 = 138,154/x
  3. Step 3: Cross multiply
    359,770x = 539,681.20 × 138,154
  4. Step 4: Simplify right side
    359,770x = 74,559,116,504.80
  5. Step 5: Solve for x
    x = 74,559,116,504.80/359,770
  6. Step 6: Final answer
    x = 207,241.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.