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Finding the Fourth Proportional to 105,095.60, 157,643.40 and 98,874.80

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Solution

The fourth proportional to 105,095.60, 157,643.40 and 98,874.80 is: 148,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,095.60 : 157,643.40 = 98,874.80 : x
  2. Step 2: Convert to fraction form
    105,095.60/157,643.40 = 98,874.80/x
  3. Step 3: Cross multiply
    105,095.60x = 157,643.40 × 98,874.80
  4. Step 4: Simplify right side
    105,095.60x = 15,586,959,646.32
  5. Step 5: Solve for x
    x = 15,586,959,646.32/105,095.60
  6. Step 6: Final answer
    x = 148,312.20

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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.