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Finding the Fourth Proportional to 209,852.32, 289,587.72 and 114,356.96

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Solution

The fourth proportional to 209,852.32, 289,587.72 and 114,356.96 is: 157,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,852.32 : 289,587.72 = 114,356.96 : x
  2. Step 2: Convert to fraction form
    209,852.32/289,587.72 = 114,356.96/x
  3. Step 3: Cross multiply
    209,852.32x = 289,587.72 × 114,356.96
  4. Step 4: Simplify right side
    209,852.32x = 33,116,371,312.53
  5. Step 5: Solve for x
    x = 33,116,371,312.53/209,852.32
  6. Step 6: Final answer
    x = 157,807.98

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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.