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Finding the Fourth Proportional to 105,004.30, 157,506.45 and 65,638.30

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Solution

The fourth proportional to 105,004.30, 157,506.45 and 65,638.30 is: 98,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004.30 : 157,506.45 = 65,638.30 : x
  2. Step 2: Convert to fraction form
    105,004.30/157,506.45 = 65,638.30/x
  3. Step 3: Cross multiply
    105,004.30x = 157,506.45 × 65,638.30
  4. Step 4: Simplify right side
    105,004.30x = 10,338,455,617.04
  5. Step 5: Solve for x
    x = 10,338,455,617.04/105,004.30
  6. Step 6: Final answer
    x = 98,457.45

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1.5x scale

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.