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Finding the Fourth Proportional to 102,030.86, 153,072.23 and 59,946.50

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Solution

The fourth proportional to 102,030.86, 153,072.23 and 59,946.50 is: 89,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.86 : 153,072.23 = 59,946.50 : x
  2. Step 2: Convert to fraction form
    102,030.86/153,072.23 = 59,946.50/x
  3. Step 3: Cross multiply
    102,030.86x = 153,072.23 × 59,946.50
  4. Step 4: Simplify right side
    102,030.86x = 9,176,144,435.70
  5. Step 5: Solve for x
    x = 9,176,144,435.70/102,030.86
  6. Step 6: Final answer
    x = 89,934.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.