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Finding the Fourth Proportional to 209,341.82, 288,885.53 and 118,706.06

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Solution

The fourth proportional to 209,341.82, 288,885.53 and 118,706.06 is: 163,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,341.82 : 288,885.53 = 118,706.06 : x
  2. Step 2: Convert to fraction form
    209,341.82/288,885.53 = 118,706.06/x
  3. Step 3: Cross multiply
    209,341.82x = 288,885.53 × 118,706.06
  4. Step 4: Simplify right side
    209,341.82x = 34,292,461,019.35
  5. Step 5: Solve for x
    x = 34,292,461,019.35/209,341.82
  6. Step 6: Final answer
    x = 163,810.85

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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.