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Finding the Fourth Proportional to 209,804.68, 289,526.78 and 114,312.06

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Solution

The fourth proportional to 209,804.68, 289,526.78 and 114,312.06 is: 157,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,804.68 : 289,526.78 = 114,312.06 : x
  2. Step 2: Convert to fraction form
    209,804.68/289,526.78 = 114,312.06/x
  3. Step 3: Cross multiply
    209,804.68x = 289,526.78 × 114,312.06
  4. Step 4: Simplify right side
    209,804.68x = 33,096,402,646.97
  5. Step 5: Solve for x
    x = 33,096,402,646.97/209,804.68
  6. Step 6: Final answer
    x = 157,748.64

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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.