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Finding the Fourth Proportional to 292,214.83, 438,059.09 and 105,094.75

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Solution

The fourth proportional to 292,214.83, 438,059.09 and 105,094.75 is: 157,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.83 : 438,059.09 = 105,094.75 : x
  2. Step 2: Convert to fraction form
    292,214.83/438,059.09 = 105,094.75/x
  3. Step 3: Cross multiply
    292,214.83x = 438,059.09 × 105,094.75
  4. Step 4: Simplify right side
    292,214.83x = 46,037,710,023.30
  5. Step 5: Solve for x
    x = 46,037,710,023.30/292,214.83
  6. Step 6: Final answer
    x = 157,547.48

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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.