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Finding the Fourth Proportional to 209,045.90, 288,603.03 and 137,633.50

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Solution

The fourth proportional to 209,045.90, 288,603.03 and 137,633.50 is: 190,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,045.90 : 288,603.03 = 137,633.50 : x
  2. Step 2: Convert to fraction form
    209,045.90/288,603.03 = 137,633.50/x
  3. Step 3: Cross multiply
    209,045.90x = 288,603.03 × 137,633.50
  4. Step 4: Simplify right side
    209,045.90x = 39,721,445,129.51
  5. Step 5: Solve for x
    x = 39,721,445,129.51/209,045.90
  6. Step 6: Final answer
    x = 190,013.03

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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.