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Finding the Fourth Proportional to 102,304.94, 153,457.08 and 46,079.24

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Solution

The fourth proportional to 102,304.94, 153,457.08 and 46,079.24 is: 69,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304.94 : 153,457.08 = 46,079.24 : x
  2. Step 2: Convert to fraction form
    102,304.94/153,457.08 = 46,079.24/x
  3. Step 3: Cross multiply
    102,304.94x = 153,457.08 × 46,079.24
  4. Step 4: Simplify right side
    102,304.94x = 7,071,185,619.02
  5. Step 5: Solve for x
    x = 7,071,185,619.02/102,304.94
  6. Step 6: Final answer
    x = 69,118.71

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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.