Finding the Fourth Proportional to 105,178,258.44, 157,784,339.34 and 32,395,015.08
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Solution
The fourth proportional to 105,178,258.44, 157,784,339.34 and 32,395,015.08 is: 48,597,743.76
Step by Step Solution
- Step 1: Write the proportion equation
105,178,258.44 : 157,784,339.34 = 32,395,015.08 : x - Step 2: Convert to fraction form
105,178,258.44/157,784,339.34 = 32,395,015.08/x - Step 3: Cross multiply
105,178,258.44x = 157,784,339.34 × 32,395,015.08 - Step 4: Simplify right side
105,178,258.44x = 5,111,426,052,307,137 - Step 5: Solve for x
x = 5,111,426,052,307,137/105,178,258.44 - Step 6: Final answer
x = 48,597,743.76
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.