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Finding the Fourth Proportional to 145,633.95, 201,036.94 and 97,915.10

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Solution

The fourth proportional to 145,633.95, 201,036.94 and 97,915.10 is: 135,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,633.95 : 201,036.94 = 97,915.10 : x
  2. Step 2: Convert to fraction form
    145,633.95/201,036.94 = 97,915.10/x
  3. Step 3: Cross multiply
    145,633.95x = 201,036.94 × 97,915.10
  4. Step 4: Simplify right side
    145,633.95x = 19,684,550,833.82
  5. Step 5: Solve for x
    x = 19,684,550,833.82/145,633.95
  6. Step 6: Final answer
    x = 135,164.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.