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Finding the Fourth Proportional to 102,436.95, 153,710.52 and 98,709.06

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Solution

The fourth proportional to 102,436.95, 153,710.52 and 98,709.06 is: 148,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,436.95 : 153,710.52 = 98,709.06 : x
  2. Step 2: Convert to fraction form
    102,436.95/153,710.52 = 98,709.06/x
  3. Step 3: Cross multiply
    102,436.95x = 153,710.52 × 98,709.06
  4. Step 4: Simplify right side
    102,436.95x = 15,172,620,941.31
  5. Step 5: Solve for x
    x = 15,172,620,941.31/102,436.95
  6. Step 6: Final answer
    x = 148,116.68

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Why These Related Problems?

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