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Finding the Fourth Proportional to 202,077.40, 278,860.42 and 111,437.19

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Solution

The fourth proportional to 202,077.40, 278,860.42 and 111,437.19 is: 153,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,077.40 : 278,860.42 = 111,437.19 : x
  2. Step 2: Convert to fraction form
    202,077.40/278,860.42 = 111,437.19/x
  3. Step 3: Cross multiply
    202,077.40x = 278,860.42 × 111,437.19
  4. Step 4: Simplify right side
    202,077.40x = 31,075,421,607.02
  5. Step 5: Solve for x
    x = 31,075,421,607.02/202,077.40
  6. Step 6: Final answer
    x = 153,779.80

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