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Finding the Fourth Proportional to 102,598.60, 153,547.80 and 85,977.40

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Solution

The fourth proportional to 102,598.60, 153,547.80 and 85,977.40 is: 128,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.60 : 153,547.80 = 85,977.40 : x
  2. Step 2: Convert to fraction form
    102,598.60/153,547.80 = 85,977.40/x
  3. Step 3: Cross multiply
    102,598.60x = 153,547.80 × 85,977.40
  4. Step 4: Simplify right side
    102,598.60x = 13,201,640,619.72
  5. Step 5: Solve for x
    x = 13,201,640,619.72/102,598.60
  6. Step 6: Final answer
    x = 128,672.72

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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.