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Finding the Fourth Proportional to 157,084.94, 216,780.94 and 89,106.50

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Solution

The fourth proportional to 157,084.94, 216,780.94 and 89,106.50 is: 122,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084.94 : 216,780.94 = 89,106.50 : x
  2. Step 2: Convert to fraction form
    157,084.94/216,780.94 = 89,106.50/x
  3. Step 3: Cross multiply
    157,084.94x = 216,780.94 × 89,106.50
  4. Step 4: Simplify right side
    157,084.94x = 19,316,590,830.11
  5. Step 5: Solve for x
    x = 19,316,590,830.11/157,084.94
  6. Step 6: Final answer
    x = 122,969.08

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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.