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Finding the Fourth Proportional to 256,547.64, 354,005.07 and 141,810.78

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Solution

The fourth proportional to 256,547.64, 354,005.07 and 141,810.78 is: 195,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,547.64 : 354,005.07 = 141,810.78 : x
  2. Step 2: Convert to fraction form
    256,547.64/354,005.07 = 141,810.78/x
  3. Step 3: Cross multiply
    256,547.64x = 354,005.07 × 141,810.78
  4. Step 4: Simplify right side
    256,547.64x = 50,201,735,100.65
  5. Step 5: Solve for x
    x = 50,201,735,100.65/256,547.64
  6. Step 6: Final answer
    x = 195,681.92

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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.