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Finding the Fourth Proportional to 295,547.94, 407,856.60 and 168,223.50

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Solution

The fourth proportional to 295,547.94, 407,856.60 and 168,223.50 is: 232,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,547.94 : 407,856.60 = 168,223.50 : x
  2. Step 2: Convert to fraction form
    295,547.94/407,856.60 = 168,223.50/x
  3. Step 3: Cross multiply
    295,547.94x = 407,856.60 × 168,223.50
  4. Step 4: Simplify right side
    295,547.94x = 68,611,064,750.10
  5. Step 5: Solve for x
    x = 68,611,064,750.10/295,547.94
  6. Step 6: Final answer
    x = 232,148.68

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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.