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Finding the Fourth Proportional to 152,125.89, 209,931.93 and 84,137.53

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Solution

The fourth proportional to 152,125.89, 209,931.93 and 84,137.53 is: 116,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,125.89 : 209,931.93 = 84,137.53 : x
  2. Step 2: Convert to fraction form
    152,125.89/209,931.93 = 84,137.53/x
  3. Step 3: Cross multiply
    152,125.89x = 209,931.93 × 84,137.53
  4. Step 4: Simplify right side
    152,125.89x = 17,663,153,533.50
  5. Step 5: Solve for x
    x = 17,663,153,533.50/152,125.89
  6. Step 6: Final answer
    x = 116,108.79

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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.